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Simplifying 52 = -1(6n + -8) + 4(1 + 4n) Reorder the terms: 52 = -1(-8 + 6n) + 4(1 + 4n) 52 = (-8 * -1 + 6n * -1) + 4(1 + 4n) 52 = (8 + -6n) + 4(1 + 4n) 52 = 8 + -6n + (1 * 4 + 4n * 4) 52 = 8 + -6n + (4 + 16n) Reorder the terms: 52 = 8 + 4 + -6n + 16n Combine like terms: 8 + 4 = 12 52 = 12 + -6n + 16n Combine like terms: -6n + 16n = 10n 52 = 12 + 10n Solving 52 = 12 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 52 + -10n = 12 + 10n + -10n Combine like terms: 10n + -10n = 0 52 + -10n = 12 + 0 52 + -10n = 12 Add '-52' to each side of the equation. 52 + -52 + -10n = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -10n = 12 + -52 -10n = 12 + -52 Combine like terms: 12 + -52 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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