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Simplifying 19 = 5(-5 + m) + -8(m + -7) 19 = (-5 * 5 + m * 5) + -8(m + -7) 19 = (-25 + 5m) + -8(m + -7) Reorder the terms: 19 = -25 + 5m + -8(-7 + m) 19 = -25 + 5m + (-7 * -8 + m * -8) 19 = -25 + 5m + (56 + -8m) Reorder the terms: 19 = -25 + 56 + 5m + -8m Combine like terms: -25 + 56 = 31 19 = 31 + 5m + -8m Combine like terms: 5m + -8m = -3m 19 = 31 + -3m Solving 19 = 31 + -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. 19 + 3m = 31 + -3m + 3m Combine like terms: -3m + 3m = 0 19 + 3m = 31 + 0 19 + 3m = 31 Add '-19' to each side of the equation. 19 + -19 + 3m = 31 + -19 Combine like terms: 19 + -19 = 0 0 + 3m = 31 + -19 3m = 31 + -19 Combine like terms: 31 + -19 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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