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Simplifying 3(3m + -4) + -1(2m + -3) = m + 9 Reorder the terms: 3(-4 + 3m) + -1(2m + -3) = m + 9 (-4 * 3 + 3m * 3) + -1(2m + -3) = m + 9 (-12 + 9m) + -1(2m + -3) = m + 9 Reorder the terms: -12 + 9m + -1(-3 + 2m) = m + 9 -12 + 9m + (-3 * -1 + 2m * -1) = m + 9 -12 + 9m + (3 + -2m) = m + 9 Reorder the terms: -12 + 3 + 9m + -2m = m + 9 Combine like terms: -12 + 3 = -9 -9 + 9m + -2m = m + 9 Combine like terms: 9m + -2m = 7m -9 + 7m = m + 9 Reorder the terms: -9 + 7m = 9 + m Solving -9 + 7m = 9 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -9 + 7m + -1m = 9 + m + -1m Combine like terms: 7m + -1m = 6m -9 + 6m = 9 + m + -1m Combine like terms: m + -1m = 0 -9 + 6m = 9 + 0 -9 + 6m = 9 Add '9' to each side of the equation. -9 + 9 + 6m = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6m = 9 + 9 6m = 9 + 9 Combine like terms: 9 + 9 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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