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Simplifying 102 = 6(5m + 3) Reorder the terms: 102 = 6(3 + 5m) 102 = (3 * 6 + 5m * 6) 102 = (18 + 30m) Solving 102 = 18 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 102 + -30m = 18 + 30m + -30m Combine like terms: 30m + -30m = 0 102 + -30m = 18 + 0 102 + -30m = 18 Add '-102' to each side of the equation. 102 + -102 + -30m = 18 + -102 Combine like terms: 102 + -102 = 0 0 + -30m = 18 + -102 -30m = 18 + -102 Combine like terms: 18 + -102 = -84 -30m = -84 Divide each side by '-30'. m = 2.8 Simplifying m = 2.8
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