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Simplifying -5(6 + 6m) + -3(-7 + -4m) = 0 (6 * -5 + 6m * -5) + -3(-7 + -4m) = 0 (-30 + -30m) + -3(-7 + -4m) = 0 -30 + -30m + (-7 * -3 + -4m * -3) = 0 -30 + -30m + (21 + 12m) = 0 Reorder the terms: -30 + 21 + -30m + 12m = 0 Combine like terms: -30 + 21 = -9 -9 + -30m + 12m = 0 Combine like terms: -30m + 12m = -18m -9 + -18m = 0 Solving -9 + -18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -18m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -18m = 0 + 9 -18m = 0 + 9 Combine like terms: 0 + 9 = 9 -18m = 9 Divide each side by '-18'. m = -0.5 Simplifying m = -0.5
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