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Simplifying 7(-4m + -6) = 8m + 6(2 + -3m) Reorder the terms: 7(-6 + -4m) = 8m + 6(2 + -3m) (-6 * 7 + -4m * 7) = 8m + 6(2 + -3m) (-42 + -28m) = 8m + 6(2 + -3m) -42 + -28m = 8m + (2 * 6 + -3m * 6) -42 + -28m = 8m + (12 + -18m) Reorder the terms: -42 + -28m = 12 + 8m + -18m Combine like terms: 8m + -18m = -10m -42 + -28m = 12 + -10m Solving -42 + -28m = 12 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -42 + -28m + 10m = 12 + -10m + 10m Combine like terms: -28m + 10m = -18m -42 + -18m = 12 + -10m + 10m Combine like terms: -10m + 10m = 0 -42 + -18m = 12 + 0 -42 + -18m = 12 Add '42' to each side of the equation. -42 + 42 + -18m = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -18m = 12 + 42 -18m = 12 + 42 Combine like terms: 12 + 42 = 54 -18m = 54 Divide each side by '-18'. m = -3 Simplifying m = -3
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