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Simplifying -3(m + 4) + 5(2m + -3) = -14(m + 1) + 1 Reorder the terms: -3(4 + m) + 5(2m + -3) = -14(m + 1) + 1 (4 * -3 + m * -3) + 5(2m + -3) = -14(m + 1) + 1 (-12 + -3m) + 5(2m + -3) = -14(m + 1) + 1 Reorder the terms: -12 + -3m + 5(-3 + 2m) = -14(m + 1) + 1 -12 + -3m + (-3 * 5 + 2m * 5) = -14(m + 1) + 1 -12 + -3m + (-15 + 10m) = -14(m + 1) + 1 Reorder the terms: -12 + -15 + -3m + 10m = -14(m + 1) + 1 Combine like terms: -12 + -15 = -27 -27 + -3m + 10m = -14(m + 1) + 1 Combine like terms: -3m + 10m = 7m -27 + 7m = -14(m + 1) + 1 Reorder the terms: -27 + 7m = -14(1 + m) + 1 -27 + 7m = (1 * -14 + m * -14) + 1 -27 + 7m = (-14 + -14m) + 1 Reorder the terms: -27 + 7m = -14 + 1 + -14m Combine like terms: -14 + 1 = -13 -27 + 7m = -13 + -14m Solving -27 + 7m = -13 + -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. -27 + 7m + 14m = -13 + -14m + 14m Combine like terms: 7m + 14m = 21m -27 + 21m = -13 + -14m + 14m Combine like terms: -14m + 14m = 0 -27 + 21m = -13 + 0 -27 + 21m = -13 Add '27' to each side of the equation. -27 + 27 + 21m = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 21m = -13 + 27 21m = -13 + 27 Combine like terms: -13 + 27 = 14 21m = 14 Divide each side by '21'. m = 0.6666666667 Simplifying m = 0.6666666667
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