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Simplifying 6(m + -1) + 9(8 + -2m) = -13(m + -4) + -8 Reorder the terms: 6(-1 + m) + 9(8 + -2m) = -13(m + -4) + -8 (-1 * 6 + m * 6) + 9(8 + -2m) = -13(m + -4) + -8 (-6 + 6m) + 9(8 + -2m) = -13(m + -4) + -8 -6 + 6m + (8 * 9 + -2m * 9) = -13(m + -4) + -8 -6 + 6m + (72 + -18m) = -13(m + -4) + -8 Reorder the terms: -6 + 72 + 6m + -18m = -13(m + -4) + -8 Combine like terms: -6 + 72 = 66 66 + 6m + -18m = -13(m + -4) + -8 Combine like terms: 6m + -18m = -12m 66 + -12m = -13(m + -4) + -8 Reorder the terms: 66 + -12m = -13(-4 + m) + -8 66 + -12m = (-4 * -13 + m * -13) + -8 66 + -12m = (52 + -13m) + -8 Reorder the terms: 66 + -12m = 52 + -8 + -13m Combine like terms: 52 + -8 = 44 66 + -12m = 44 + -13m Solving 66 + -12m = 44 + -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. 66 + -12m + 13m = 44 + -13m + 13m Combine like terms: -12m + 13m = 1m 66 + 1m = 44 + -13m + 13m Combine like terms: -13m + 13m = 0 66 + 1m = 44 + 0 66 + 1m = 44 Add '-66' to each side of the equation. 66 + -66 + 1m = 44 + -66 Combine like terms: 66 + -66 = 0 0 + 1m = 44 + -66 1m = 44 + -66 Combine like terms: 44 + -66 = -22 1m = -22 Divide each side by '1'. m = -22 Simplifying m = -22
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