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Simplifying 24 = -4(1 + -7n) + 7(n + 4) 24 = (1 * -4 + -7n * -4) + 7(n + 4) 24 = (-4 + 28n) + 7(n + 4) Reorder the terms: 24 = -4 + 28n + 7(4 + n) 24 = -4 + 28n + (4 * 7 + n * 7) 24 = -4 + 28n + (28 + 7n) Reorder the terms: 24 = -4 + 28 + 28n + 7n Combine like terms: -4 + 28 = 24 24 = 24 + 28n + 7n Combine like terms: 28n + 7n = 35n 24 = 24 + 35n Add '-24' to each side of the equation. 24 + -24 = 24 + -24 + 35n Combine like terms: 24 + -24 = 0 0 = 24 + -24 + 35n Combine like terms: 24 + -24 = 0 0 = 0 + 35n 0 = 35n Solving 0 = 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 0 + -35n = 35n + -35n Remove the zero: -35n = 35n + -35n Combine like terms: 35n + -35n = 0 -35n = 0 Divide each side by '-35'. n = 0 Simplifying n = 0
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