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Simplifying 4(b + -4) = 5(b + 3) Reorder the terms: 4(-4 + b) = 5(b + 3) (-4 * 4 + b * 4) = 5(b + 3) (-16 + 4b) = 5(b + 3) Reorder the terms: -16 + 4b = 5(3 + b) -16 + 4b = (3 * 5 + b * 5) -16 + 4b = (15 + 5b) Solving -16 + 4b = 15 + 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 + 4b + -5b = 15 + 5b + -5b Combine like terms: 4b + -5b = -1b -16 + -1b = 15 + 5b + -5b Combine like terms: 5b + -5b = 0 -16 + -1b = 15 + 0 -16 + -1b = 15 Add '16' to each side of the equation. -16 + 16 + -1b = 15 + 16 Combine like terms: -16 + 16 = 0 0 + -1b = 15 + 16 -1b = 15 + 16 Combine like terms: 15 + 16 = 31 -1b = 31 Divide each side by '-1'. b = -31 Simplifying b = -31
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