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Simplifying -8m + 14 = -6(6m + -7) Reorder the terms: 14 + -8m = -6(6m + -7) Reorder the terms: 14 + -8m = -6(-7 + 6m) 14 + -8m = (-7 * -6 + 6m * -6) 14 + -8m = (42 + -36m) Solving 14 + -8m = 42 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 14 + -8m + 36m = 42 + -36m + 36m Combine like terms: -8m + 36m = 28m 14 + 28m = 42 + -36m + 36m Combine like terms: -36m + 36m = 0 14 + 28m = 42 + 0 14 + 28m = 42 Add '-14' to each side of the equation. 14 + -14 + 28m = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 28m = 42 + -14 28m = 42 + -14 Combine like terms: 42 + -14 = 28 28m = 28 Divide each side by '28'. m = 1 Simplifying m = 1
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