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Simplifying 7(n + 10) + -6 = -6n + 11 Reorder the terms: 7(10 + n) + -6 = -6n + 11 (10 * 7 + n * 7) + -6 = -6n + 11 (70 + 7n) + -6 = -6n + 11 Reorder the terms: 70 + -6 + 7n = -6n + 11 Combine like terms: 70 + -6 = 64 64 + 7n = -6n + 11 Reorder the terms: 64 + 7n = 11 + -6n Solving 64 + 7n = 11 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 64 + 7n + 6n = 11 + -6n + 6n Combine like terms: 7n + 6n = 13n 64 + 13n = 11 + -6n + 6n Combine like terms: -6n + 6n = 0 64 + 13n = 11 + 0 64 + 13n = 11 Add '-64' to each side of the equation. 64 + -64 + 13n = 11 + -64 Combine like terms: 64 + -64 = 0 0 + 13n = 11 + -64 13n = 11 + -64 Combine like terms: 11 + -64 = -53 13n = -53 Divide each side by '13'. n = -4.076923077 Simplifying n = -4.076923077
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