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Simplifying -128 = 4 + -4(4m + 5) Reorder the terms: -128 = 4 + -4(5 + 4m) -128 = 4 + (5 * -4 + 4m * -4) -128 = 4 + (-20 + -16m) Combine like terms: 4 + -20 = -16 -128 = -16 + -16m Solving -128 = -16 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. -128 + 16m = -16 + -16m + 16m Combine like terms: -16m + 16m = 0 -128 + 16m = -16 + 0 -128 + 16m = -16 Add '128' to each side of the equation. -128 + 128 + 16m = -16 + 128 Combine like terms: -128 + 128 = 0 0 + 16m = -16 + 128 16m = -16 + 128 Combine like terms: -16 + 128 = 112 16m = 112 Divide each side by '16'. m = 7 Simplifying m = 7
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