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Simplifying -2m + -56 + -7(m + -6) = 3m + -1(7m + -6) + -8m + 1 Reorder the terms: -2m + -56 + -7(-6 + m) = 3m + -1(7m + -6) + -8m + 1 -2m + -56 + (-6 * -7 + m * -7) = 3m + -1(7m + -6) + -8m + 1 -2m + -56 + (42 + -7m) = 3m + -1(7m + -6) + -8m + 1 Reorder the terms: -56 + 42 + -2m + -7m = 3m + -1(7m + -6) + -8m + 1 Combine like terms: -56 + 42 = -14 -14 + -2m + -7m = 3m + -1(7m + -6) + -8m + 1 Combine like terms: -2m + -7m = -9m -14 + -9m = 3m + -1(7m + -6) + -8m + 1 Reorder the terms: -14 + -9m = 3m + -1(-6 + 7m) + -8m + 1 -14 + -9m = 3m + (-6 * -1 + 7m * -1) + -8m + 1 -14 + -9m = 3m + (6 + -7m) + -8m + 1 Reorder the terms: -14 + -9m = 6 + 1 + 3m + -7m + -8m Combine like terms: 6 + 1 = 7 -14 + -9m = 7 + 3m + -7m + -8m Combine like terms: 3m + -7m = -4m -14 + -9m = 7 + -4m + -8m Combine like terms: -4m + -8m = -12m -14 + -9m = 7 + -12m Solving -14 + -9m = 7 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -14 + -9m + 12m = 7 + -12m + 12m Combine like terms: -9m + 12m = 3m -14 + 3m = 7 + -12m + 12m Combine like terms: -12m + 12m = 0 -14 + 3m = 7 + 0 -14 + 3m = 7 Add '14' to each side of the equation. -14 + 14 + 3m = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 3m = 7 + 14 3m = 7 + 14 Combine like terms: 7 + 14 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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