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Simplifying 4(x + 3) + -1(7n + 5) = 0 Reorder the terms: 4(3 + x) + -1(7n + 5) = 0 (3 * 4 + x * 4) + -1(7n + 5) = 0 (12 + 4x) + -1(7n + 5) = 0 Reorder the terms: 12 + 4x + -1(5 + 7n) = 0 12 + 4x + (5 * -1 + 7n * -1) = 0 12 + 4x + (-5 + -7n) = 0 Reorder the terms: 12 + -5 + -7n + 4x = 0 Combine like terms: 12 + -5 = 7 7 + -7n + 4x = 0 Solving 7 + -7n + 4x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7n + -7 + 4x = 0 + -7 Reorder the terms: 7 + -7 + -7n + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7n + 4x = 0 + -7 -7n + 4x = 0 + -7 Combine like terms: 0 + -7 = -7 -7n + 4x = -7 Add '-4x' to each side of the equation. -7n + 4x + -4x = -7 + -4x Combine like terms: 4x + -4x = 0 -7n + 0 = -7 + -4x -7n = -7 + -4x Divide each side by '-7'. n = 1 + 0.5714285714x Simplifying n = 1 + 0.5714285714x
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