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Simplifying -52 = 3(4 + -6m) + 8 -52 = (4 * 3 + -6m * 3) + 8 -52 = (12 + -18m) + 8 Reorder the terms: -52 = 12 + 8 + -18m Combine like terms: 12 + 8 = 20 -52 = 20 + -18m Solving -52 = 20 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -52 + 18m = 20 + -18m + 18m Combine like terms: -18m + 18m = 0 -52 + 18m = 20 + 0 -52 + 18m = 20 Add '52' to each side of the equation. -52 + 52 + 18m = 20 + 52 Combine like terms: -52 + 52 = 0 0 + 18m = 20 + 52 18m = 20 + 52 Combine like terms: 20 + 52 = 72 18m = 72 Divide each side by '18'. m = 4 Simplifying m = 4
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