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Simplifying -83 = -7 + 2(2 + 5m) -83 = -7 + (2 * 2 + 5m * 2) -83 = -7 + (4 + 10m) Combine like terms: -7 + 4 = -3 -83 = -3 + 10m Solving -83 = -3 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -83 + -10m = -3 + 10m + -10m Combine like terms: 10m + -10m = 0 -83 + -10m = -3 + 0 -83 + -10m = -3 Add '83' to each side of the equation. -83 + 83 + -10m = -3 + 83 Combine like terms: -83 + 83 = 0 0 + -10m = -3 + 83 -10m = -3 + 83 Combine like terms: -3 + 83 = 80 -10m = 80 Divide each side by '-10'. m = -8 Simplifying m = -8
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