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