Problem 55
Question
Simplify each algebraic expression. $$-7 b+10+(-b)+(-6)$$
Step-by-Step Solution
Verified Answer
The simplified expression is \(-8b + 4\).
1Step 1: Group like terms
Group the similar terms together, in this case, the terms with \(b\) and the constants. Therefore, the expression becomes \((-7b - b) + (10 - 6)\).
2Step 2: Simplify the grouped terms
Simplify each of the groupings. Subtract the coefficients for the \(b\) terms and subtract the constant terms. This should give: \(-8b + 4\).
3Step 3: Write down the simplified expression
The simplified version of the original algebraic expression is \(-8b + 4\).
Other exercises in this chapter
Problem 55
Insert either \(\) in the shaded area between each pair of numbers to make a true statement. $$-4.5 \square 3$$
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Determine whether the given number is a solution of the equation. $$6(p-4)=3 p ; 8$$
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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{18}{5} \div 2$$
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Simplify each series of additions and subtractions. $$-9-5+4-17$$
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