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Simplifying -8(m + 6) + -3(1 + -4m) = -7m + -6m Reorder the terms: -8(6 + m) + -3(1 + -4m) = -7m + -6m (6 * -8 + m * -8) + -3(1 + -4m) = -7m + -6m (-48 + -8m) + -3(1 + -4m) = -7m + -6m -48 + -8m + (1 * -3 + -4m * -3) = -7m + -6m -48 + -8m + (-3 + 12m) = -7m + -6m Reorder the terms: -48 + -3 + -8m + 12m = -7m + -6m Combine like terms: -48 + -3 = -51 -51 + -8m + 12m = -7m + -6m Combine like terms: -8m + 12m = 4m -51 + 4m = -7m + -6m Combine like terms: -7m + -6m = -13m -51 + 4m = -13m Solving -51 + 4m = -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -51 + 4m + 13m = -13m + 13m Combine like terms: 4m + 13m = 17m -51 + 17m = -13m + 13m Combine like terms: -13m + 13m = 0 -51 + 17m = 0 Add '51' to each side of the equation. -51 + 51 + 17m = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 17m = 0 + 51 17m = 0 + 51 Combine like terms: 0 + 51 = 51 17m = 51 Divide each side by '17'. m = 3 Simplifying m = 3
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