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Simplifying 4(b + -1) + 9 = 2(3b + -4) + b Reorder the terms: 4(-1 + b) + 9 = 2(3b + -4) + b (-1 * 4 + b * 4) + 9 = 2(3b + -4) + b (-4 + 4b) + 9 = 2(3b + -4) + b Reorder the terms: -4 + 9 + 4b = 2(3b + -4) + b Combine like terms: -4 + 9 = 5 5 + 4b = 2(3b + -4) + b Reorder the terms: 5 + 4b = 2(-4 + 3b) + b 5 + 4b = (-4 * 2 + 3b * 2) + b 5 + 4b = (-8 + 6b) + b Combine like terms: 6b + b = 7b 5 + 4b = -8 + 7b Solving 5 + 4b = -8 + 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. 5 + 4b + -7b = -8 + 7b + -7b Combine like terms: 4b + -7b = -3b 5 + -3b = -8 + 7b + -7b Combine like terms: 7b + -7b = 0 5 + -3b = -8 + 0 5 + -3b = -8 Add '-5' to each side of the equation. 5 + -5 + -3b = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -3b = -8 + -5 -3b = -8 + -5 Combine like terms: -8 + -5 = -13 -3b = -13 Divide each side by '-3'. b = 4.333333333 Simplifying b = 4.333333333
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