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Simplifying 8(1 + -6n) = -7n + 8 (1 * 8 + -6n * 8) = -7n + 8 (8 + -48n) = -7n + 8 Reorder the terms: 8 + -48n = 8 + -7n Add '-8' to each side of the equation. 8 + -8 + -48n = 8 + -8 + -7n Combine like terms: 8 + -8 = 0 0 + -48n = 8 + -8 + -7n -48n = 8 + -8 + -7n Combine like terms: 8 + -8 = 0 -48n = 0 + -7n -48n = -7n Solving -48n = -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. -48n + 7n = -7n + 7n Combine like terms: -48n + 7n = -41n -41n = -7n + 7n Combine like terms: -7n + 7n = 0 -41n = 0 Divide each side by '-41'. n = 0 Simplifying n = 0
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