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Simplifying 52 = -2(2 + 2n) + 7(8n + 8) 52 = (2 * -2 + 2n * -2) + 7(8n + 8) 52 = (-4 + -4n) + 7(8n + 8) Reorder the terms: 52 = -4 + -4n + 7(8 + 8n) 52 = -4 + -4n + (8 * 7 + 8n * 7) 52 = -4 + -4n + (56 + 56n) Reorder the terms: 52 = -4 + 56 + -4n + 56n Combine like terms: -4 + 56 = 52 52 = 52 + -4n + 56n Combine like terms: -4n + 56n = 52n 52 = 52 + 52n Add '-52' to each side of the equation. 52 + -52 = 52 + -52 + 52n Combine like terms: 52 + -52 = 0 0 = 52 + -52 + 52n Combine like terms: 52 + -52 = 0 0 = 0 + 52n 0 = 52n Solving 0 = 52n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52n' to each side of the equation. 0 + -52n = 52n + -52n Remove the zero: -52n = 52n + -52n Combine like terms: 52n + -52n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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