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Simplifying 4(b + -4) = 5(b + -7) Reorder the terms: 4(-4 + b) = 5(b + -7) (-4 * 4 + b * 4) = 5(b + -7) (-16 + 4b) = 5(b + -7) Reorder the terms: -16 + 4b = 5(-7 + b) -16 + 4b = (-7 * 5 + b * 5) -16 + 4b = (-35 + 5b) Solving -16 + 4b = -35 + 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 = -35 + 5b + -5b Combine like terms: 4b + -5b = -1b -16 + -1b = -35 + 5b + -5b Combine like terms: 5b + -5b = 0 -16 + -1b = -35 + 0 -16 + -1b = -35 Add '16' to each side of the equation. -16 + 16 + -1b = -35 + 16 Combine like terms: -16 + 16 = 0 0 + -1b = -35 + 16 -1b = -35 + 16 Combine like terms: -35 + 16 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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