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Simplifying 7(n + 1) + 5(-7n + -3) = -8 Reorder the terms: 7(1 + n) + 5(-7n + -3) = -8 (1 * 7 + n * 7) + 5(-7n + -3) = -8 (7 + 7n) + 5(-7n + -3) = -8 Reorder the terms: 7 + 7n + 5(-3 + -7n) = -8 7 + 7n + (-3 * 5 + -7n * 5) = -8 7 + 7n + (-15 + -35n) = -8 Reorder the terms: 7 + -15 + 7n + -35n = -8 Combine like terms: 7 + -15 = -8 -8 + 7n + -35n = -8 Combine like terms: 7n + -35n = -28n -8 + -28n = -8 Add '8' to each side of the equation. -8 + 8 + -28n = -8 + 8 Combine like terms: -8 + 8 = 0 0 + -28n = -8 + 8 -28n = -8 + 8 Combine like terms: -8 + 8 = 0 -28n = 0 Solving -28n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-28'. n = 0 Simplifying n = 0
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