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Simplifying 7(8 + 6n) + -1n = 8 + -7n (8 * 7 + 6n * 7) + -1n = 8 + -7n (56 + 42n) + -1n = 8 + -7n Combine like terms: 42n + -1n = 41n 56 + 41n = 8 + -7n Solving 56 + 41n = 8 + -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. 56 + 41n + 7n = 8 + -7n + 7n Combine like terms: 41n + 7n = 48n 56 + 48n = 8 + -7n + 7n Combine like terms: -7n + 7n = 0 56 + 48n = 8 + 0 56 + 48n = 8 Add '-56' to each side of the equation. 56 + -56 + 48n = 8 + -56 Combine like terms: 56 + -56 = 0 0 + 48n = 8 + -56 48n = 8 + -56 Combine like terms: 8 + -56 = -48 48n = -48 Divide each side by '48'. n = -1 Simplifying n = -1
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