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Simplifying 6m + -6(7 + -3m) = 102 6m + (7 * -6 + -3m * -6) = 102 6m + (-42 + 18m) = 102 Reorder the terms: -42 + 6m + 18m = 102 Combine like terms: 6m + 18m = 24m -42 + 24m = 102 Solving -42 + 24m = 102 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 24m = 102 + 42 Combine like terms: -42 + 42 = 0 0 + 24m = 102 + 42 24m = 102 + 42 Combine like terms: 102 + 42 = 144 24m = 144 Divide each side by '24'. m = 6 Simplifying m = 6
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