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Simplifying -3m + -23 + -8(m + -2) = 2m + -1(8m + -3) + -7m + 2 Reorder the terms: -3m + -23 + -8(-2 + m) = 2m + -1(8m + -3) + -7m + 2 -3m + -23 + (-2 * -8 + m * -8) = 2m + -1(8m + -3) + -7m + 2 -3m + -23 + (16 + -8m) = 2m + -1(8m + -3) + -7m + 2 Reorder the terms: -23 + 16 + -3m + -8m = 2m + -1(8m + -3) + -7m + 2 Combine like terms: -23 + 16 = -7 -7 + -3m + -8m = 2m + -1(8m + -3) + -7m + 2 Combine like terms: -3m + -8m = -11m -7 + -11m = 2m + -1(8m + -3) + -7m + 2 Reorder the terms: -7 + -11m = 2m + -1(-3 + 8m) + -7m + 2 -7 + -11m = 2m + (-3 * -1 + 8m * -1) + -7m + 2 -7 + -11m = 2m + (3 + -8m) + -7m + 2 Reorder the terms: -7 + -11m = 3 + 2 + 2m + -8m + -7m Combine like terms: 3 + 2 = 5 -7 + -11m = 5 + 2m + -8m + -7m Combine like terms: 2m + -8m = -6m -7 + -11m = 5 + -6m + -7m Combine like terms: -6m + -7m = -13m -7 + -11m = 5 + -13m Solving -7 + -11m = 5 + -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. -7 + -11m + 13m = 5 + -13m + 13m Combine like terms: -11m + 13m = 2m -7 + 2m = 5 + -13m + 13m Combine like terms: -13m + 13m = 0 -7 + 2m = 5 + 0 -7 + 2m = 5 Add '7' to each side of the equation. -7 + 7 + 2m = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2m = 5 + 7 2m = 5 + 7 Combine like terms: 5 + 7 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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