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Simplifying 18 + -1(4m + 5) = 2 + 4m + -13 Reorder the terms: 18 + -1(5 + 4m) = 2 + 4m + -13 18 + (5 * -1 + 4m * -1) = 2 + 4m + -13 18 + (-5 + -4m) = 2 + 4m + -13 Combine like terms: 18 + -5 = 13 13 + -4m = 2 + 4m + -13 Reorder the terms: 13 + -4m = 2 + -13 + 4m Combine like terms: 2 + -13 = -11 13 + -4m = -11 + 4m Solving 13 + -4m = -11 + 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. 13 + -4m + -4m = -11 + 4m + -4m Combine like terms: -4m + -4m = -8m 13 + -8m = -11 + 4m + -4m Combine like terms: 4m + -4m = 0 13 + -8m = -11 + 0 13 + -8m = -11 Add '-13' to each side of the equation. 13 + -13 + -8m = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -8m = -11 + -13 -8m = -11 + -13 Combine like terms: -11 + -13 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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