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Simplifying -2(b + -8) = 5(b + 4) Reorder the terms: -2(-8 + b) = 5(b + 4) (-8 * -2 + b * -2) = 5(b + 4) (16 + -2b) = 5(b + 4) Reorder the terms: 16 + -2b = 5(4 + b) 16 + -2b = (4 * 5 + b * 5) 16 + -2b = (20 + 5b) Solving 16 + -2b = 20 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 16 + -2b + -5b = 20 + 5b + -5b Combine like terms: -2b + -5b = -7b 16 + -7b = 20 + 5b + -5b Combine like terms: 5b + -5b = 0 16 + -7b = 20 + 0 16 + -7b = 20 Add '-16' to each side of the equation. 16 + -16 + -7b = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -7b = 20 + -16 -7b = 20 + -16 Combine like terms: 20 + -16 = 4 -7b = 4 Divide each side by '-7'. b = -0.5714285714 Simplifying b = -0.5714285714
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