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Simplifying 2(m + -5) + 3(3m + 1) = 5(3m + -2) Reorder the terms: 2(-5 + m) + 3(3m + 1) = 5(3m + -2) (-5 * 2 + m * 2) + 3(3m + 1) = 5(3m + -2) (-10 + 2m) + 3(3m + 1) = 5(3m + -2) Reorder the terms: -10 + 2m + 3(1 + 3m) = 5(3m + -2) -10 + 2m + (1 * 3 + 3m * 3) = 5(3m + -2) -10 + 2m + (3 + 9m) = 5(3m + -2) Reorder the terms: -10 + 3 + 2m + 9m = 5(3m + -2) Combine like terms: -10 + 3 = -7 -7 + 2m + 9m = 5(3m + -2) Combine like terms: 2m + 9m = 11m -7 + 11m = 5(3m + -2) Reorder the terms: -7 + 11m = 5(-2 + 3m) -7 + 11m = (-2 * 5 + 3m * 5) -7 + 11m = (-10 + 15m) Solving -7 + 11m = -10 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. -7 + 11m + -15m = -10 + 15m + -15m Combine like terms: 11m + -15m = -4m -7 + -4m = -10 + 15m + -15m Combine like terms: 15m + -15m = 0 -7 + -4m = -10 + 0 -7 + -4m = -10 Add '7' to each side of the equation. -7 + 7 + -4m = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -4m = -10 + 7 -4m = -10 + 7 Combine like terms: -10 + 7 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75
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