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Simplifying 3(m + -1) + m = 5(m + -1) + 3m Reorder the terms: 3(-1 + m) + m = 5(m + -1) + 3m (-1 * 3 + m * 3) + m = 5(m + -1) + 3m (-3 + 3m) + m = 5(m + -1) + 3m Combine like terms: 3m + m = 4m -3 + 4m = 5(m + -1) + 3m Reorder the terms: -3 + 4m = 5(-1 + m) + 3m -3 + 4m = (-1 * 5 + m * 5) + 3m -3 + 4m = (-5 + 5m) + 3m Combine like terms: 5m + 3m = 8m -3 + 4m = -5 + 8m Solving -3 + 4m = -5 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -3 + 4m + -8m = -5 + 8m + -8m Combine like terms: 4m + -8m = -4m -3 + -4m = -5 + 8m + -8m Combine like terms: 8m + -8m = 0 -3 + -4m = -5 + 0 -3 + -4m = -5 Add '3' to each side of the equation. -3 + 3 + -4m = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = -5 + 3 -4m = -5 + 3 Combine like terms: -5 + 3 = -2 -4m = -2 Divide each side by '-4'. m = 0.5 Simplifying m = 0.5
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