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Simplifying 7(2m + -5) + 3(4m + -6) = 0 Reorder the terms: 7(-5 + 2m) + 3(4m + -6) = 0 (-5 * 7 + 2m * 7) + 3(4m + -6) = 0 (-35 + 14m) + 3(4m + -6) = 0 Reorder the terms: -35 + 14m + 3(-6 + 4m) = 0 -35 + 14m + (-6 * 3 + 4m * 3) = 0 -35 + 14m + (-18 + 12m) = 0 Reorder the terms: -35 + -18 + 14m + 12m = 0 Combine like terms: -35 + -18 = -53 -53 + 14m + 12m = 0 Combine like terms: 14m + 12m = 26m -53 + 26m = 0 Solving -53 + 26m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 26m = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 26m = 0 + 53 26m = 0 + 53 Combine like terms: 0 + 53 = 53 26m = 53 Divide each side by '26'. m = 2.038461538 Simplifying m = 2.038461538
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