Solve for b.
Give an exact answer.
0.5(5 - 7b) = 8 - (4b + 6)

b=-1

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5(5−7b)=8−(4b+6)

Step 1: Simplify both sides of the equation.

0.5(5−7b)=8−(4b+6)

0.5(5−7b)=8+−1(4b+6)(Distribute the Negative Sign)

0.5(5−7b)=8+−1(4b)+(−1)(6)

0.5(5−7b)=8+−4b+−6

(0.5)(5)+(0.5)(−7b)=8+−4b+−6(Distribute)

2.5+−3.5b=8+−4b+−6

−3.5b+2.5=(−4b)+(8+−6)(Combine Like Terms)

−3.5b+2.5=−4b+2

−3.5b+2.5=−4b+2

Step 2: Add 4b to both sides.

−3.5b+2.5+4b=−4b+2+4b

0.5b+2.5=2

Step 3: Subtract 2.5 from both sides.

0.5b+2.5−2.5=2−2.5

0.5b=−0.5

Step 4: Divide both sides by 0.5.

0.5b/0.5=−0.5/0.5

b=−1

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