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Simplifying 6(-2 + -2m) = 6(m + 7) (-2 * 6 + -2m * 6) = 6(m + 7) (-12 + -12m) = 6(m + 7) Reorder the terms: -12 + -12m = 6(7 + m) -12 + -12m = (7 * 6 + m * 6) -12 + -12m = (42 + 6m) Solving -12 + -12m = 42 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -12 + -12m + -6m = 42 + 6m + -6m Combine like terms: -12m + -6m = -18m -12 + -18m = 42 + 6m + -6m Combine like terms: 6m + -6m = 0 -12 + -18m = 42 + 0 -12 + -18m = 42 Add '12' to each side of the equation. -12 + 12 + -18m = 42 + 12 Combine like terms: -12 + 12 = 0 0 + -18m = 42 + 12 -18m = 42 + 12 Combine like terms: 42 + 12 = 54 -18m = 54 Divide each side by '-18'. m = -3 Simplifying m = -3
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