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Simplifying 8(m + -2) + -3(7m + -9) = -14(m + 1) + -4 Reorder the terms: 8(-2 + m) + -3(7m + -9) = -14(m + 1) + -4 (-2 * 8 + m * 8) + -3(7m + -9) = -14(m + 1) + -4 (-16 + 8m) + -3(7m + -9) = -14(m + 1) + -4 Reorder the terms: -16 + 8m + -3(-9 + 7m) = -14(m + 1) + -4 -16 + 8m + (-9 * -3 + 7m * -3) = -14(m + 1) + -4 -16 + 8m + (27 + -21m) = -14(m + 1) + -4 Reorder the terms: -16 + 27 + 8m + -21m = -14(m + 1) + -4 Combine like terms: -16 + 27 = 11 11 + 8m + -21m = -14(m + 1) + -4 Combine like terms: 8m + -21m = -13m 11 + -13m = -14(m + 1) + -4 Reorder the terms: 11 + -13m = -14(1 + m) + -4 11 + -13m = (1 * -14 + m * -14) + -4 11 + -13m = (-14 + -14m) + -4 Reorder the terms: 11 + -13m = -14 + -4 + -14m Combine like terms: -14 + -4 = -18 11 + -13m = -18 + -14m Solving 11 + -13m = -18 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. 11 + -13m + 14m = -18 + -14m + 14m Combine like terms: -13m + 14m = 1m 11 + 1m = -18 + -14m + 14m Combine like terms: -14m + 14m = 0 11 + 1m = -18 + 0 11 + 1m = -18 Add '-11' to each side of the equation. 11 + -11 + 1m = -18 + -11 Combine like terms: 11 + -11 = 0 0 + 1m = -18 + -11 1m = -18 + -11 Combine like terms: -18 + -11 = -29 1m = -29 Divide each side by '1'. m = -29 Simplifying m = -29
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