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Simplifying -6(m + 9) + 2(-2m + -5) = -11(m + 5) + 5 Reorder the terms: -6(9 + m) + 2(-2m + -5) = -11(m + 5) + 5 (9 * -6 + m * -6) + 2(-2m + -5) = -11(m + 5) + 5 (-54 + -6m) + 2(-2m + -5) = -11(m + 5) + 5 Reorder the terms: -54 + -6m + 2(-5 + -2m) = -11(m + 5) + 5 -54 + -6m + (-5 * 2 + -2m * 2) = -11(m + 5) + 5 -54 + -6m + (-10 + -4m) = -11(m + 5) + 5 Reorder the terms: -54 + -10 + -6m + -4m = -11(m + 5) + 5 Combine like terms: -54 + -10 = -64 -64 + -6m + -4m = -11(m + 5) + 5 Combine like terms: -6m + -4m = -10m -64 + -10m = -11(m + 5) + 5 Reorder the terms: -64 + -10m = -11(5 + m) + 5 -64 + -10m = (5 * -11 + m * -11) + 5 -64 + -10m = (-55 + -11m) + 5 Reorder the terms: -64 + -10m = -55 + 5 + -11m Combine like terms: -55 + 5 = -50 -64 + -10m = -50 + -11m Solving -64 + -10m = -50 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -64 + -10m + 11m = -50 + -11m + 11m Combine like terms: -10m + 11m = 1m -64 + 1m = -50 + -11m + 11m Combine like terms: -11m + 11m = 0 -64 + 1m = -50 + 0 -64 + 1m = -50 Add '64' to each side of the equation. -64 + 64 + 1m = -50 + 64 Combine like terms: -64 + 64 = 0 0 + 1m = -50 + 64 1m = -50 + 64 Combine like terms: -50 + 64 = 14 1m = 14 Divide each side by '1'. m = 14 Simplifying m = 14
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