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Simplifying -91 = -4(1 + 4m) + -7 -91 = (1 * -4 + 4m * -4) + -7 -91 = (-4 + -16m) + -7 Reorder the terms: -91 = -4 + -7 + -16m Combine like terms: -4 + -7 = -11 -91 = -11 + -16m Solving -91 = -11 + -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. -91 + 16m = -11 + -16m + 16m Combine like terms: -16m + 16m = 0 -91 + 16m = -11 + 0 -91 + 16m = -11 Add '91' to each side of the equation. -91 + 91 + 16m = -11 + 91 Combine like terms: -91 + 91 = 0 0 + 16m = -11 + 91 16m = -11 + 91 Combine like terms: -11 + 91 = 80 16m = 80 Divide each side by '16'. m = 5 Simplifying m = 5
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