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Simplifying -2(m + -5) + 3m = -1(m + 2) + -7 Reorder the terms: -2(-5 + m) + 3m = -1(m + 2) + -7 (-5 * -2 + m * -2) + 3m = -1(m + 2) + -7 (10 + -2m) + 3m = -1(m + 2) + -7 Combine like terms: -2m + 3m = 1m 10 + 1m = -1(m + 2) + -7 Reorder the terms: 10 + 1m = -1(2 + m) + -7 10 + 1m = (2 * -1 + m * -1) + -7 10 + 1m = (-2 + -1m) + -7 Reorder the terms: 10 + 1m = -2 + -7 + -1m Combine like terms: -2 + -7 = -9 10 + 1m = -9 + -1m Solving 10 + 1m = -9 + -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. 10 + 1m + m = -9 + -1m + m Combine like terms: 1m + m = 2m 10 + 2m = -9 + -1m + m Combine like terms: -1m + m = 0 10 + 2m = -9 + 0 10 + 2m = -9 Add '-10' to each side of the equation. 10 + -10 + 2m = -9 + -10 Combine like terms: 10 + -10 = 0 0 + 2m = -9 + -10 2m = -9 + -10 Combine like terms: -9 + -10 = -19 2m = -19 Divide each side by '2'. m = -9.5 Simplifying m = -9.5
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