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Simplifying -2m + 34 + -6(m + -3) = 9m + -1(7m + -2) + -3m + 8 Reorder the terms: -2m + 34 + -6(-3 + m) = 9m + -1(7m + -2) + -3m + 8 -2m + 34 + (-3 * -6 + m * -6) = 9m + -1(7m + -2) + -3m + 8 -2m + 34 + (18 + -6m) = 9m + -1(7m + -2) + -3m + 8 Reorder the terms: 34 + 18 + -2m + -6m = 9m + -1(7m + -2) + -3m + 8 Combine like terms: 34 + 18 = 52 52 + -2m + -6m = 9m + -1(7m + -2) + -3m + 8 Combine like terms: -2m + -6m = -8m 52 + -8m = 9m + -1(7m + -2) + -3m + 8 Reorder the terms: 52 + -8m = 9m + -1(-2 + 7m) + -3m + 8 52 + -8m = 9m + (-2 * -1 + 7m * -1) + -3m + 8 52 + -8m = 9m + (2 + -7m) + -3m + 8 Reorder the terms: 52 + -8m = 2 + 8 + 9m + -7m + -3m Combine like terms: 2 + 8 = 10 52 + -8m = 10 + 9m + -7m + -3m Combine like terms: 9m + -7m = 2m 52 + -8m = 10 + 2m + -3m Combine like terms: 2m + -3m = -1m 52 + -8m = 10 + -1m Solving 52 + -8m = 10 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 52 + -8m + m = 10 + -1m + m Combine like terms: -8m + m = -7m 52 + -7m = 10 + -1m + m Combine like terms: -1m + m = 0 52 + -7m = 10 + 0 52 + -7m = 10 Add '-52' to each side of the equation. 52 + -52 + -7m = 10 + -52 Combine like terms: 52 + -52 = 0 0 + -7m = 10 + -52 -7m = 10 + -52 Combine like terms: 10 + -52 = -42 -7m = -42 Divide each side by '-7'. m = 6 Simplifying m = 6
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