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Simplifying -5(3m + -6) + 16(m + -4) = 11 + -6 Reorder the terms: -5(-6 + 3m) + 16(m + -4) = 11 + -6 (-6 * -5 + 3m * -5) + 16(m + -4) = 11 + -6 (30 + -15m) + 16(m + -4) = 11 + -6 Reorder the terms: 30 + -15m + 16(-4 + m) = 11 + -6 30 + -15m + (-4 * 16 + m * 16) = 11 + -6 30 + -15m + (-64 + 16m) = 11 + -6 Reorder the terms: 30 + -64 + -15m + 16m = 11 + -6 Combine like terms: 30 + -64 = -34 -34 + -15m + 16m = 11 + -6 Combine like terms: -15m + 16m = 1m -34 + 1m = 11 + -6 Combine like terms: 11 + -6 = 5 -34 + 1m = 5 Solving -34 + 1m = 5 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 1m = 5 + 34 Combine like terms: -34 + 34 = 0 0 + 1m = 5 + 34 1m = 5 + 34 Combine like terms: 5 + 34 = 39 1m = 39 Divide each side by '1'. m = 39 Simplifying m = 39
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