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Simplifying 6m + -1(31m + -18) = 12(m + -11) + 3m Reorder the terms: 6m + -1(-18 + 31m) = 12(m + -11) + 3m 6m + (-18 * -1 + 31m * -1) = 12(m + -11) + 3m 6m + (18 + -31m) = 12(m + -11) + 3m Reorder the terms: 18 + 6m + -31m = 12(m + -11) + 3m Combine like terms: 6m + -31m = -25m 18 + -25m = 12(m + -11) + 3m Reorder the terms: 18 + -25m = 12(-11 + m) + 3m 18 + -25m = (-11 * 12 + m * 12) + 3m 18 + -25m = (-132 + 12m) + 3m Combine like terms: 12m + 3m = 15m 18 + -25m = -132 + 15m Solving 18 + -25m = -132 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 18 + -25m + -15m = -132 + 15m + -15m Combine like terms: -25m + -15m = -40m 18 + -40m = -132 + 15m + -15m Combine like terms: 15m + -15m = 0 18 + -40m = -132 + 0 18 + -40m = -132 Add '-18' to each side of the equation. 18 + -18 + -40m = -132 + -18 Combine like terms: 18 + -18 = 0 0 + -40m = -132 + -18 -40m = -132 + -18 Combine like terms: -132 + -18 = -150 -40m = -150 Divide each side by '-40'. m = 3.75 Simplifying m = 3.75
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