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Simplifying 2(b + 4.5) = 7(b + -0.5) Reorder the terms: 2(4.5 + b) = 7(b + -0.5) (4.5 * 2 + b * 2) = 7(b + -0.5) (9 + 2b) = 7(b + -0.5) Reorder the terms: 9 + 2b = 7(-0.5 + b) 9 + 2b = (-0.5 * 7 + b * 7) 9 + 2b = (-3.5 + 7b) Solving 9 + 2b = -3.5 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 9 + 2b + -7b = -3.5 + 7b + -7b Combine like terms: 2b + -7b = -5b 9 + -5b = -3.5 + 7b + -7b Combine like terms: 7b + -7b = 0 9 + -5b = -3.5 + 0 9 + -5b = -3.5 Add '-9' to each side of the equation. 9 + -9 + -5b = -3.5 + -9 Combine like terms: 9 + -9 = 0 0 + -5b = -3.5 + -9 -5b = -3.5 + -9 Combine like terms: -3.5 + -9 = -12.5 -5b = -12.5 Divide each side by '-5'. b = 2.5 Simplifying b = 2.5
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