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Simplifying 18 + -1(4m + 3) = 4 + 4m + -13 Reorder the terms: 18 + -1(3 + 4m) = 4 + 4m + -13 18 + (3 * -1 + 4m * -1) = 4 + 4m + -13 18 + (-3 + -4m) = 4 + 4m + -13 Combine like terms: 18 + -3 = 15 15 + -4m = 4 + 4m + -13 Reorder the terms: 15 + -4m = 4 + -13 + 4m Combine like terms: 4 + -13 = -9 15 + -4m = -9 + 4m Solving 15 + -4m = -9 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 15 + -4m + -4m = -9 + 4m + -4m Combine like terms: -4m + -4m = -8m 15 + -8m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 15 + -8m = -9 + 0 15 + -8m = -9 Add '-15' to each side of the equation. 15 + -15 + -8m = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8m = -9 + -15 -8m = -9 + -15 Combine like terms: -9 + -15 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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