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Simplifying 2(m + -3) = 5(m + 8) + -19 Reorder the terms: 2(-3 + m) = 5(m + 8) + -19 (-3 * 2 + m * 2) = 5(m + 8) + -19 (-6 + 2m) = 5(m + 8) + -19 Reorder the terms: -6 + 2m = 5(8 + m) + -19 -6 + 2m = (8 * 5 + m * 5) + -19 -6 + 2m = (40 + 5m) + -19 Reorder the terms: -6 + 2m = 40 + -19 + 5m Combine like terms: 40 + -19 = 21 -6 + 2m = 21 + 5m Solving -6 + 2m = 21 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -6 + 2m + -5m = 21 + 5m + -5m Combine like terms: 2m + -5m = -3m -6 + -3m = 21 + 5m + -5m Combine like terms: 5m + -5m = 0 -6 + -3m = 21 + 0 -6 + -3m = 21 Add '6' to each side of the equation. -6 + 6 + -3m = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -3m = 21 + 6 -3m = 21 + 6 Combine like terms: 21 + 6 = 27 -3m = 27 Divide each side by '-3'. m = -9 Simplifying m = -9
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