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Simplifying 3(m + -2) + -12m = 492m + 7 Reorder the terms: 3(-2 + m) + -12m = 492m + 7 (-2 * 3 + m * 3) + -12m = 492m + 7 (-6 + 3m) + -12m = 492m + 7 Combine like terms: 3m + -12m = -9m -6 + -9m = 492m + 7 Reorder the terms: -6 + -9m = 7 + 492m Solving -6 + -9m = 7 + 492m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-492m' to each side of the equation. -6 + -9m + -492m = 7 + 492m + -492m Combine like terms: -9m + -492m = -501m -6 + -501m = 7 + 492m + -492m Combine like terms: 492m + -492m = 0 -6 + -501m = 7 + 0 -6 + -501m = 7 Add '6' to each side of the equation. -6 + 6 + -501m = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -501m = 7 + 6 -501m = 7 + 6 Combine like terms: 7 + 6 = 13 -501m = 13 Divide each side by '-501'. m = -0.02594810379 Simplifying m = -0.02594810379
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