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Simplifying 4 + -6n = 2n + 8(-7n + 7) Reorder the terms: 4 + -6n = 2n + 8(7 + -7n) 4 + -6n = 2n + (7 * 8 + -7n * 8) 4 + -6n = 2n + (56 + -56n) Reorder the terms: 4 + -6n = 56 + 2n + -56n Combine like terms: 2n + -56n = -54n 4 + -6n = 56 + -54n Solving 4 + -6n = 56 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. 4 + -6n + 54n = 56 + -54n + 54n Combine like terms: -6n + 54n = 48n 4 + 48n = 56 + -54n + 54n Combine like terms: -54n + 54n = 0 4 + 48n = 56 + 0 4 + 48n = 56 Add '-4' to each side of the equation. 4 + -4 + 48n = 56 + -4 Combine like terms: 4 + -4 = 0 0 + 48n = 56 + -4 48n = 56 + -4 Combine like terms: 56 + -4 = 52 48n = 52 Divide each side by '48'. n = 1.083333333 Simplifying n = 1.083333333
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