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Simplifying 2(n + -12) = 9(n + -11) Reorder the terms: 2(-12 + n) = 9(n + -11) (-12 * 2 + n * 2) = 9(n + -11) (-24 + 2n) = 9(n + -11) Reorder the terms: -24 + 2n = 9(-11 + n) -24 + 2n = (-11 * 9 + n * 9) -24 + 2n = (-99 + 9n) Solving -24 + 2n = -99 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -24 + 2n + -9n = -99 + 9n + -9n Combine like terms: 2n + -9n = -7n -24 + -7n = -99 + 9n + -9n Combine like terms: 9n + -9n = 0 -24 + -7n = -99 + 0 -24 + -7n = -99 Add '24' to each side of the equation. -24 + 24 + -7n = -99 + 24 Combine like terms: -24 + 24 = 0 0 + -7n = -99 + 24 -7n = -99 + 24 Combine like terms: -99 + 24 = -75 -7n = -75 Divide each side by '-7'. n = 10.71428571 Simplifying n = 10.71428571
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