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Simplifying 3(m + -3) + -2(3m + 2) = -5m + 3m Reorder the terms: 3(-3 + m) + -2(3m + 2) = -5m + 3m (-3 * 3 + m * 3) + -2(3m + 2) = -5m + 3m (-9 + 3m) + -2(3m + 2) = -5m + 3m Reorder the terms: -9 + 3m + -2(2 + 3m) = -5m + 3m -9 + 3m + (2 * -2 + 3m * -2) = -5m + 3m -9 + 3m + (-4 + -6m) = -5m + 3m Reorder the terms: -9 + -4 + 3m + -6m = -5m + 3m Combine like terms: -9 + -4 = -13 -13 + 3m + -6m = -5m + 3m Combine like terms: 3m + -6m = -3m -13 + -3m = -5m + 3m Combine like terms: -5m + 3m = -2m -13 + -3m = -2m Solving -13 + -3m = -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. -13 + -3m + 2m = -2m + 2m Combine like terms: -3m + 2m = -1m -13 + -1m = -2m + 2m Combine like terms: -2m + 2m = 0 -13 + -1m = 0 Add '13' to each side of the equation. -13 + 13 + -1m = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1m = 0 + 13 -1m = 0 + 13 Combine like terms: 0 + 13 = 13 -1m = 13 Divide each side by '-1'. m = -13 Simplifying m = -13
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