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Simplifying 18 + -1(2m + 8) = 3 + 2m + -13 Reorder the terms: 18 + -1(8 + 2m) = 3 + 2m + -13 18 + (8 * -1 + 2m * -1) = 3 + 2m + -13 18 + (-8 + -2m) = 3 + 2m + -13 Combine like terms: 18 + -8 = 10 10 + -2m = 3 + 2m + -13 Reorder the terms: 10 + -2m = 3 + -13 + 2m Combine like terms: 3 + -13 = -10 10 + -2m = -10 + 2m Solving 10 + -2m = -10 + 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 + -2m + -2m = -10 + 2m + -2m Combine like terms: -2m + -2m = -4m 10 + -4m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -4m = -10 + 0 10 + -4m = -10 Add '-10' to each side of the equation. 10 + -10 + -4m = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4m = -10 + -10 -4m = -10 + -10 Combine like terms: -10 + -10 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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