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Simplifying -36 = -4(2m + -5) + 8(7 + 8m) Reorder the terms: -36 = -4(-5 + 2m) + 8(7 + 8m) -36 = (-5 * -4 + 2m * -4) + 8(7 + 8m) -36 = (20 + -8m) + 8(7 + 8m) -36 = 20 + -8m + (7 * 8 + 8m * 8) -36 = 20 + -8m + (56 + 64m) Reorder the terms: -36 = 20 + 56 + -8m + 64m Combine like terms: 20 + 56 = 76 -36 = 76 + -8m + 64m Combine like terms: -8m + 64m = 56m -36 = 76 + 56m Solving -36 = 76 + 56m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-56m' to each side of the equation. -36 + -56m = 76 + 56m + -56m Combine like terms: 56m + -56m = 0 -36 + -56m = 76 + 0 -36 + -56m = 76 Add '36' to each side of the equation. -36 + 36 + -56m = 76 + 36 Combine like terms: -36 + 36 = 0 0 + -56m = 76 + 36 -56m = 76 + 36 Combine like terms: 76 + 36 = 112 -56m = 112 Divide each side by '-56'. m = -2 Simplifying m = -2
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