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Simplifying 6(-8n + 7) = -40 + -7n Reorder the terms: 6(7 + -8n) = -40 + -7n (7 * 6 + -8n * 6) = -40 + -7n (42 + -48n) = -40 + -7n Solving 42 + -48n = -40 + -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. 42 + -48n + 7n = -40 + -7n + 7n Combine like terms: -48n + 7n = -41n 42 + -41n = -40 + -7n + 7n Combine like terms: -7n + 7n = 0 42 + -41n = -40 + 0 42 + -41n = -40 Add '-42' to each side of the equation. 42 + -42 + -41n = -40 + -42 Combine like terms: 42 + -42 = 0 0 + -41n = -40 + -42 -41n = -40 + -42 Combine like terms: -40 + -42 = -82 -41n = -82 Divide each side by '-41'. n = 2 Simplifying n = 2
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