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Simplifying 3 + -9(-6n + 1) = 8(8n + 3) Reorder the terms: 3 + -9(1 + -6n) = 8(8n + 3) 3 + (1 * -9 + -6n * -9) = 8(8n + 3) 3 + (-9 + 54n) = 8(8n + 3) Combine like terms: 3 + -9 = -6 -6 + 54n = 8(8n + 3) Reorder the terms: -6 + 54n = 8(3 + 8n) -6 + 54n = (3 * 8 + 8n * 8) -6 + 54n = (24 + 64n) Solving -6 + 54n = 24 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. -6 + 54n + -64n = 24 + 64n + -64n Combine like terms: 54n + -64n = -10n -6 + -10n = 24 + 64n + -64n Combine like terms: 64n + -64n = 0 -6 + -10n = 24 + 0 -6 + -10n = 24 Add '6' to each side of the equation. -6 + 6 + -10n = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -10n = 24 + 6 -10n = 24 + 6 Combine like terms: 24 + 6 = 30 -10n = 30 Divide each side by '-10'. n = -3 Simplifying n = -3
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