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Simplifying -5(2m + -6) + 11(m + -3) = 15 + -6 Reorder the terms: -5(-6 + 2m) + 11(m + -3) = 15 + -6 (-6 * -5 + 2m * -5) + 11(m + -3) = 15 + -6 (30 + -10m) + 11(m + -3) = 15 + -6 Reorder the terms: 30 + -10m + 11(-3 + m) = 15 + -6 30 + -10m + (-3 * 11 + m * 11) = 15 + -6 30 + -10m + (-33 + 11m) = 15 + -6 Reorder the terms: 30 + -33 + -10m + 11m = 15 + -6 Combine like terms: 30 + -33 = -3 -3 + -10m + 11m = 15 + -6 Combine like terms: -10m + 11m = 1m -3 + 1m = 15 + -6 Combine like terms: 15 + -6 = 9 -3 + 1m = 9 Solving -3 + 1m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1m = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 9 + 3 1m = 9 + 3 Combine like terms: 9 + 3 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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