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Simplifying 5n + 6(2n + 3) = 8(n + -4) + -1n Reorder the terms: 5n + 6(3 + 2n) = 8(n + -4) + -1n 5n + (3 * 6 + 2n * 6) = 8(n + -4) + -1n 5n + (18 + 12n) = 8(n + -4) + -1n Reorder the terms: 18 + 5n + 12n = 8(n + -4) + -1n Combine like terms: 5n + 12n = 17n 18 + 17n = 8(n + -4) + -1n Reorder the terms: 18 + 17n = 8(-4 + n) + -1n 18 + 17n = (-4 * 8 + n * 8) + -1n 18 + 17n = (-32 + 8n) + -1n Combine like terms: 8n + -1n = 7n 18 + 17n = -32 + 7n Solving 18 + 17n = -32 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 18 + 17n + -7n = -32 + 7n + -7n Combine like terms: 17n + -7n = 10n 18 + 10n = -32 + 7n + -7n Combine like terms: 7n + -7n = 0 18 + 10n = -32 + 0 18 + 10n = -32 Add '-18' to each side of the equation. 18 + -18 + 10n = -32 + -18 Combine like terms: 18 + -18 = 0 0 + 10n = -32 + -18 10n = -32 + -18 Combine like terms: -32 + -18 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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