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Simplifying 35 + -3m = -1 + 7(m + -2) Reorder the terms: 35 + -3m = -1 + 7(-2 + m) 35 + -3m = -1 + (-2 * 7 + m * 7) 35 + -3m = -1 + (-14 + 7m) Combine like terms: -1 + -14 = -15 35 + -3m = -15 + 7m Solving 35 + -3m = -15 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 35 + -3m + -7m = -15 + 7m + -7m Combine like terms: -3m + -7m = -10m 35 + -10m = -15 + 7m + -7m Combine like terms: 7m + -7m = 0 35 + -10m = -15 + 0 35 + -10m = -15 Add '-35' to each side of the equation. 35 + -35 + -10m = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -10m = -15 + -35 -10m = -15 + -35 Combine like terms: -15 + -35 = -50 -10m = -50 Divide each side by '-10'. m = 5 Simplifying m = 5
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