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Simplifying 3(m + -3) + 5m + 4 = 5m + -8 Reorder the terms: 3(-3 + m) + 5m + 4 = 5m + -8 (-3 * 3 + m * 3) + 5m + 4 = 5m + -8 (-9 + 3m) + 5m + 4 = 5m + -8 Reorder the terms: -9 + 4 + 3m + 5m = 5m + -8 Combine like terms: -9 + 4 = -5 -5 + 3m + 5m = 5m + -8 Combine like terms: 3m + 5m = 8m -5 + 8m = 5m + -8 Reorder the terms: -5 + 8m = -8 + 5m Solving -5 + 8m = -8 + 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. -5 + 8m + -5m = -8 + 5m + -5m Combine like terms: 8m + -5m = 3m -5 + 3m = -8 + 5m + -5m Combine like terms: 5m + -5m = 0 -5 + 3m = -8 + 0 -5 + 3m = -8 Add '5' to each side of the equation. -5 + 5 + 3m = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = -8 + 5 3m = -8 + 5 Combine like terms: -8 + 5 = -3 3m = -3 Divide each side by '3'. m = -1 Simplifying m = -1
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