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Simplifying 8(7 + 6n) + -6 = 3 + n (7 * 8 + 6n * 8) + -6 = 3 + n (56 + 48n) + -6 = 3 + n Reorder the terms: 56 + -6 + 48n = 3 + n Combine like terms: 56 + -6 = 50 50 + 48n = 3 + n Solving 50 + 48n = 3 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 50 + 48n + -1n = 3 + n + -1n Combine like terms: 48n + -1n = 47n 50 + 47n = 3 + n + -1n Combine like terms: n + -1n = 0 50 + 47n = 3 + 0 50 + 47n = 3 Add '-50' to each side of the equation. 50 + -50 + 47n = 3 + -50 Combine like terms: 50 + -50 = 0 0 + 47n = 3 + -50 47n = 3 + -50 Combine like terms: 3 + -50 = -47 47n = -47 Divide each side by '47'. n = -1 Simplifying n = -1
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