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Simplifying 4 + -7 = -8(7n + -1) + 7 Combine like terms: 4 + -7 = -3 -3 = -8(7n + -1) + 7 Reorder the terms: -3 = -8(-1 + 7n) + 7 -3 = (-1 * -8 + 7n * -8) + 7 -3 = (8 + -56n) + 7 Reorder the terms: -3 = 8 + 7 + -56n Combine like terms: 8 + 7 = 15 -3 = 15 + -56n Solving -3 = 15 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -3 + 56n = 15 + -56n + 56n Combine like terms: -56n + 56n = 0 -3 + 56n = 15 + 0 -3 + 56n = 15 Add '3' to each side of the equation. -3 + 3 + 56n = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 56n = 15 + 3 56n = 15 + 3 Combine like terms: 15 + 3 = 18 56n = 18 Divide each side by '56'. n = 0.3214285714 Simplifying n = 0.3214285714
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