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Simplifying 3(-2m + 6) + -7 = 503 + -31922(6m + 2) Reorder the terms: 3(6 + -2m) + -7 = 503 + -31922(6m + 2) (6 * 3 + -2m * 3) + -7 = 503 + -31922(6m + 2) (18 + -6m) + -7 = 503 + -31922(6m + 2) Reorder the terms: 18 + -7 + -6m = 503 + -31922(6m + 2) Combine like terms: 18 + -7 = 11 11 + -6m = 503 + -31922(6m + 2) Reorder the terms: 11 + -6m = 503 + -31922(2 + 6m) 11 + -6m = 503 + (2 * -31922 + 6m * -31922) 11 + -6m = 503 + (-63844 + -191532m) Combine like terms: 503 + -63844 = -63341 11 + -6m = -63341 + -191532m Solving 11 + -6m = -63341 + -191532m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '191532m' to each side of the equation. 11 + -6m + 191532m = -63341 + -191532m + 191532m Combine like terms: -6m + 191532m = 191526m 11 + 191526m = -63341 + -191532m + 191532m Combine like terms: -191532m + 191532m = 0 11 + 191526m = -63341 + 0 11 + 191526m = -63341 Add '-11' to each side of the equation. 11 + -11 + 191526m = -63341 + -11 Combine like terms: 11 + -11 = 0 0 + 191526m = -63341 + -11 191526m = -63341 + -11 Combine like terms: -63341 + -11 = -63352 191526m = -63352 Divide each side by '191526'. m = -0.330774934 Simplifying m = -0.330774934
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