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Simplifying 2(m + -8) = 5(m + 3) + -19 Reorder the terms: 2(-8 + m) = 5(m + 3) + -19 (-8 * 2 + m * 2) = 5(m + 3) + -19 (-16 + 2m) = 5(m + 3) + -19 Reorder the terms: -16 + 2m = 5(3 + m) + -19 -16 + 2m = (3 * 5 + m * 5) + -19 -16 + 2m = (15 + 5m) + -19 Reorder the terms: -16 + 2m = 15 + -19 + 5m Combine like terms: 15 + -19 = -4 -16 + 2m = -4 + 5m Solving -16 + 2m = -4 + 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. -16 + 2m + -5m = -4 + 5m + -5m Combine like terms: 2m + -5m = -3m -16 + -3m = -4 + 5m + -5m Combine like terms: 5m + -5m = 0 -16 + -3m = -4 + 0 -16 + -3m = -4 Add '16' to each side of the equation. -16 + 16 + -3m = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -3m = -4 + 16 -3m = -4 + 16 Combine like terms: -4 + 16 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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