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Simplifying 19 + -1(m + -5) = 2(m + 1) + -9 Reorder the terms: 19 + -1(-5 + m) = 2(m + 1) + -9 19 + (-5 * -1 + m * -1) = 2(m + 1) + -9 19 + (5 + -1m) = 2(m + 1) + -9 Combine like terms: 19 + 5 = 24 24 + -1m = 2(m + 1) + -9 Reorder the terms: 24 + -1m = 2(1 + m) + -9 24 + -1m = (1 * 2 + m * 2) + -9 24 + -1m = (2 + 2m) + -9 Reorder the terms: 24 + -1m = 2 + -9 + 2m Combine like terms: 2 + -9 = -7 24 + -1m = -7 + 2m Solving 24 + -1m = -7 + 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. 24 + -1m + -2m = -7 + 2m + -2m Combine like terms: -1m + -2m = -3m 24 + -3m = -7 + 2m + -2m Combine like terms: 2m + -2m = 0 24 + -3m = -7 + 0 24 + -3m = -7 Add '-24' to each side of the equation. 24 + -24 + -3m = -7 + -24 Combine like terms: 24 + -24 = 0 0 + -3m = -7 + -24 -3m = -7 + -24 Combine like terms: -7 + -24 = -31 -3m = -31 Divide each side by '-3'. m = 10.33333333 Simplifying m = 10.33333333
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