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Simplifying 6(6n + -6) + 5(6n + 8) = 70 Reorder the terms: 6(-6 + 6n) + 5(6n + 8) = 70 (-6 * 6 + 6n * 6) + 5(6n + 8) = 70 (-36 + 36n) + 5(6n + 8) = 70 Reorder the terms: -36 + 36n + 5(8 + 6n) = 70 -36 + 36n + (8 * 5 + 6n * 5) = 70 -36 + 36n + (40 + 30n) = 70 Reorder the terms: -36 + 40 + 36n + 30n = 70 Combine like terms: -36 + 40 = 4 4 + 36n + 30n = 70 Combine like terms: 36n + 30n = 66n 4 + 66n = 70 Solving 4 + 66n = 70 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 66n = 70 + -4 Combine like terms: 4 + -4 = 0 0 + 66n = 70 + -4 66n = 70 + -4 Combine like terms: 70 + -4 = 66 66n = 66 Divide each side by '66'. n = 1 Simplifying n = 1
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