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Simplifying 18 + -1(5m + 8) = 2 + 2m + -13 Reorder the terms: 18 + -1(8 + 5m) = 2 + 2m + -13 18 + (8 * -1 + 5m * -1) = 2 + 2m + -13 18 + (-8 + -5m) = 2 + 2m + -13 Combine like terms: 18 + -8 = 10 10 + -5m = 2 + 2m + -13 Reorder the terms: 10 + -5m = 2 + -13 + 2m Combine like terms: 2 + -13 = -11 10 + -5m = -11 + 2m Solving 10 + -5m = -11 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 10 + -5m + -2m = -11 + 2m + -2m Combine like terms: -5m + -2m = -7m 10 + -7m = -11 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -7m = -11 + 0 10 + -7m = -11 Add '-10' to each side of the equation. 10 + -10 + -7m = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = -11 + -10 -7m = -11 + -10 Combine like terms: -11 + -10 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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