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Simplifying 7n + -4(5 + -2x) = 10 7n + (5 * -4 + -2x * -4) = 10 7n + (-20 + 8x) = 10 Reorder the terms: -20 + 7n + 8x = 10 Solving -20 + 7n + 8x = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 7n + 20 + 8x = 10 + 20 Reorder the terms: -20 + 20 + 7n + 8x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 7n + 8x = 10 + 20 7n + 8x = 10 + 20 Combine like terms: 10 + 20 = 30 7n + 8x = 30 Add '-8x' to each side of the equation. 7n + 8x + -8x = 30 + -8x Combine like terms: 8x + -8x = 0 7n + 0 = 30 + -8x 7n = 30 + -8x Divide each side by '7'. n = 4.285714286 + -1.142857143x Simplifying n = 4.285714286 + -1.142857143x
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