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Simplifying 6n + -4(11 + 12m) = -11(6m + 4) 6n + (11 * -4 + 12m * -4) = -11(6m + 4) 6n + (-44 + -48m) = -11(6m + 4) Reorder the terms: -44 + -48m + 6n = -11(6m + 4) Reorder the terms: -44 + -48m + 6n = -11(4 + 6m) -44 + -48m + 6n = (4 * -11 + 6m * -11) -44 + -48m + 6n = (-44 + -66m) Add '44' to each side of the equation. -44 + -48m + 44 + 6n = -44 + 44 + -66m Reorder the terms: -44 + 44 + -48m + 6n = -44 + 44 + -66m Combine like terms: -44 + 44 = 0 0 + -48m + 6n = -44 + 44 + -66m -48m + 6n = -44 + 44 + -66m Combine like terms: -44 + 44 = 0 -48m + 6n = 0 + -66m -48m + 6n = -66m Solving -48m + 6n = -66m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '66m' to each side of the equation. -48m + 66m + 6n = -66m + 66m Combine like terms: -48m + 66m = 18m 18m + 6n = -66m + 66m Combine like terms: -66m + 66m = 0 18m + 6n = 0 Add '-6n' to each side of the equation. 18m + 6n + -6n = 0 + -6n Combine like terms: 6n + -6n = 0 18m + 0 = 0 + -6n 18m = 0 + -6n Remove the zero: 18m = -6n Divide each side by '18'. m = -0.3333333333n Simplifying m = -0.3333333333n
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