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Simplifying -2m + 19 + -5(m + -2) = 7m + -1(18 + -5) + -3m + 9 Reorder the terms: -2m + 19 + -5(-2 + m) = 7m + -1(18 + -5) + -3m + 9 -2m + 19 + (-2 * -5 + m * -5) = 7m + -1(18 + -5) + -3m + 9 -2m + 19 + (10 + -5m) = 7m + -1(18 + -5) + -3m + 9 Reorder the terms: 19 + 10 + -2m + -5m = 7m + -1(18 + -5) + -3m + 9 Combine like terms: 19 + 10 = 29 29 + -2m + -5m = 7m + -1(18 + -5) + -3m + 9 Combine like terms: -2m + -5m = -7m 29 + -7m = 7m + -1(18 + -5) + -3m + 9 Combine like terms: 18 + -5 = 13 29 + -7m = 7m + -1(13) + -3m + 9 Multiply -1 * 13 29 + -7m = 7m + -13 + -3m + 9 Reorder the terms: 29 + -7m = -13 + 9 + 7m + -3m Combine like terms: -13 + 9 = -4 29 + -7m = -4 + 7m + -3m Combine like terms: 7m + -3m = 4m 29 + -7m = -4 + 4m Solving 29 + -7m = -4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 29 + -7m + -4m = -4 + 4m + -4m Combine like terms: -7m + -4m = -11m 29 + -11m = -4 + 4m + -4m Combine like terms: 4m + -4m = 0 29 + -11m = -4 + 0 29 + -11m = -4 Add '-29' to each side of the equation. 29 + -29 + -11m = -4 + -29 Combine like terms: 29 + -29 = 0 0 + -11m = -4 + -29 -11m = -4 + -29 Combine like terms: -4 + -29 = -33 -11m = -33 Divide each side by '-11'. m = 3 Simplifying m = 3
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