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Simplifying (2m + -9)(-2) = 42 Reorder the terms: (-9 + 2m)(-2) = 42 Reorder the terms for easier multiplication: -2(-9 + 2m) = 42 (-9 * -2 + 2m * -2) = 42 (18 + -4m) = 42 Solving 18 + -4m = 42 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -4m = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -4m = 42 + -18 -4m = 42 + -18 Combine like terms: 42 + -18 = 24 -4m = 24 Divide each side by '-4'. m = -6 Simplifying m = -6
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