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Simplifying 4(x + 12) + -1(6n + 6) = 0 Reorder the terms: 4(12 + x) + -1(6n + 6) = 0 (12 * 4 + x * 4) + -1(6n + 6) = 0 (48 + 4x) + -1(6n + 6) = 0 Reorder the terms: 48 + 4x + -1(6 + 6n) = 0 48 + 4x + (6 * -1 + 6n * -1) = 0 48 + 4x + (-6 + -6n) = 0 Reorder the terms: 48 + -6 + -6n + 4x = 0 Combine like terms: 48 + -6 = 42 42 + -6n + 4x = 0 Solving 42 + -6n + 4x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -6n + -42 + 4x = 0 + -42 Reorder the terms: 42 + -42 + -6n + 4x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -6n + 4x = 0 + -42 -6n + 4x = 0 + -42 Combine like terms: 0 + -42 = -42 -6n + 4x = -42 Add '-4x' to each side of the equation. -6n + 4x + -4x = -42 + -4x Combine like terms: 4x + -4x = 0 -6n + 0 = -42 + -4x -6n = -42 + -4x Divide each side by '-6'. n = 7 + 0.6666666667x Simplifying n = 7 + 0.6666666667x
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