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Simplifying 6(4m + -5) + -2(3m + 9) = 0 Reorder the terms: 6(-5 + 4m) + -2(3m + 9) = 0 (-5 * 6 + 4m * 6) + -2(3m + 9) = 0 (-30 + 24m) + -2(3m + 9) = 0 Reorder the terms: -30 + 24m + -2(9 + 3m) = 0 -30 + 24m + (9 * -2 + 3m * -2) = 0 -30 + 24m + (-18 + -6m) = 0 Reorder the terms: -30 + -18 + 24m + -6m = 0 Combine like terms: -30 + -18 = -48 -48 + 24m + -6m = 0 Combine like terms: 24m + -6m = 18m -48 + 18m = 0 Solving -48 + 18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 18m = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 18m = 0 + 48 18m = 0 + 48 Combine like terms: 0 + 48 = 48 18m = 48 Divide each side by '18'. m = 2.666666667 Simplifying m = 2.666666667
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