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Simplifying 18 + -1(3m + 5) = 4 + 4m + -19 Reorder the terms: 18 + -1(5 + 3m) = 4 + 4m + -19 18 + (5 * -1 + 3m * -1) = 4 + 4m + -19 18 + (-5 + -3m) = 4 + 4m + -19 Combine like terms: 18 + -5 = 13 13 + -3m = 4 + 4m + -19 Reorder the terms: 13 + -3m = 4 + -19 + 4m Combine like terms: 4 + -19 = -15 13 + -3m = -15 + 4m Solving 13 + -3m = -15 + 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 + -3m + -4m = -15 + 4m + -4m Combine like terms: -3m + -4m = -7m 13 + -7m = -15 + 4m + -4m Combine like terms: 4m + -4m = 0 13 + -7m = -15 + 0 13 + -7m = -15 Add '-13' to each side of the equation. 13 + -13 + -7m = -15 + -13 Combine like terms: 13 + -13 = 0 0 + -7m = -15 + -13 -7m = -15 + -13 Combine like terms: -15 + -13 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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