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Simplifying 18 = -7(1 + -5m) + -2(8 + -3m) 18 = (1 * -7 + -5m * -7) + -2(8 + -3m) 18 = (-7 + 35m) + -2(8 + -3m) 18 = -7 + 35m + (8 * -2 + -3m * -2) 18 = -7 + 35m + (-16 + 6m) Reorder the terms: 18 = -7 + -16 + 35m + 6m Combine like terms: -7 + -16 = -23 18 = -23 + 35m + 6m Combine like terms: 35m + 6m = 41m 18 = -23 + 41m Solving 18 = -23 + 41m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-41m' to each side of the equation. 18 + -41m = -23 + 41m + -41m Combine like terms: 41m + -41m = 0 18 + -41m = -23 + 0 18 + -41m = -23 Add '-18' to each side of the equation. 18 + -18 + -41m = -23 + -18 Combine like terms: 18 + -18 = 0 0 + -41m = -23 + -18 -41m = -23 + -18 Combine like terms: -23 + -18 = -41 -41m = -41 Divide each side by '-41'. m = 1 Simplifying m = 1
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