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Simplifying -7n + 24 = -2(6 + -1n) Reorder the terms: 24 + -7n = -2(6 + -1n) 24 + -7n = (6 * -2 + -1n * -2) 24 + -7n = (-12 + 2n) Solving 24 + -7n = -12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 24 + -7n + -2n = -12 + 2n + -2n Combine like terms: -7n + -2n = -9n 24 + -9n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + -9n = -12 + 0 24 + -9n = -12 Add '-24' to each side of the equation. 24 + -24 + -9n = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9n = -12 + -24 -9n = -12 + -24 Combine like terms: -12 + -24 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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