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Simplifying 7(n + -8) = -3(n + -8) Reorder the terms: 7(-8 + n) = -3(n + -8) (-8 * 7 + n * 7) = -3(n + -8) (-56 + 7n) = -3(n + -8) Reorder the terms: -56 + 7n = -3(-8 + n) -56 + 7n = (-8 * -3 + n * -3) -56 + 7n = (24 + -3n) Solving -56 + 7n = 24 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -56 + 7n + 3n = 24 + -3n + 3n Combine like terms: 7n + 3n = 10n -56 + 10n = 24 + -3n + 3n Combine like terms: -3n + 3n = 0 -56 + 10n = 24 + 0 -56 + 10n = 24 Add '56' to each side of the equation. -56 + 56 + 10n = 24 + 56 Combine like terms: -56 + 56 = 0 0 + 10n = 24 + 56 10n = 24 + 56 Combine like terms: 24 + 56 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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