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Simplifying 3 + 5(m + -3) = -2m + 2 Reorder the terms: 3 + 5(-3 + m) = -2m + 2 3 + (-3 * 5 + m * 5) = -2m + 2 3 + (-15 + 5m) = -2m + 2 Combine like terms: 3 + -15 = -12 -12 + 5m = -2m + 2 Reorder the terms: -12 + 5m = 2 + -2m Solving -12 + 5m = 2 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -12 + 5m + 2m = 2 + -2m + 2m Combine like terms: 5m + 2m = 7m -12 + 7m = 2 + -2m + 2m Combine like terms: -2m + 2m = 0 -12 + 7m = 2 + 0 -12 + 7m = 2 Add '12' to each side of the equation. -12 + 12 + 7m = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7m = 2 + 12 7m = 2 + 12 Combine like terms: 2 + 12 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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