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Simplifying 6(-14m + -5) = -6 + 6(-13m + -14) Reorder the terms: 6(-5 + -14m) = -6 + 6(-13m + -14) (-5 * 6 + -14m * 6) = -6 + 6(-13m + -14) (-30 + -84m) = -6 + 6(-13m + -14) Reorder the terms: -30 + -84m = -6 + 6(-14 + -13m) -30 + -84m = -6 + (-14 * 6 + -13m * 6) -30 + -84m = -6 + (-84 + -78m) Combine like terms: -6 + -84 = -90 -30 + -84m = -90 + -78m Solving -30 + -84m = -90 + -78m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '78m' to each side of the equation. -30 + -84m + 78m = -90 + -78m + 78m Combine like terms: -84m + 78m = -6m -30 + -6m = -90 + -78m + 78m Combine like terms: -78m + 78m = 0 -30 + -6m = -90 + 0 -30 + -6m = -90 Add '30' to each side of the equation. -30 + 30 + -6m = -90 + 30 Combine like terms: -30 + 30 = 0 0 + -6m = -90 + 30 -6m = -90 + 30 Combine like terms: -90 + 30 = -60 -6m = -60 Divide each side by '-6'. m = 10 Simplifying m = 10
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