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Simplifying -6(5m + 7) = -102 Reorder the terms: -6(7 + 5m) = -102 (7 * -6 + 5m * -6) = -102 (-42 + -30m) = -102 Solving -42 + -30m = -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 + -30m = -102 + 42 Combine like terms: -42 + 42 = 0 0 + -30m = -102 + 42 -30m = -102 + 42 Combine like terms: -102 + 42 = -60 -30m = -60 Divide each side by '-30'. m = 2 Simplifying m = 2
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