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Simplifying 6(n + 10) = 7(n + 10) Reorder the terms: 6(10 + n) = 7(n + 10) (10 * 6 + n * 6) = 7(n + 10) (60 + 6n) = 7(n + 10) Reorder the terms: 60 + 6n = 7(10 + n) 60 + 6n = (10 * 7 + n * 7) 60 + 6n = (70 + 7n) Solving 60 + 6n = 70 + 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. 60 + 6n + -7n = 70 + 7n + -7n Combine like terms: 6n + -7n = -1n 60 + -1n = 70 + 7n + -7n Combine like terms: 7n + -7n = 0 60 + -1n = 70 + 0 60 + -1n = 70 Add '-60' to each side of the equation. 60 + -60 + -1n = 70 + -60 Combine like terms: 60 + -60 = 0 0 + -1n = 70 + -60 -1n = 70 + -60 Combine like terms: 70 + -60 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10
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