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Simplifying -3(1 + -1n) = -8 + -7(n + 5) (1 * -3 + -1n * -3) = -8 + -7(n + 5) (-3 + 3n) = -8 + -7(n + 5) Reorder the terms: -3 + 3n = -8 + -7(5 + n) -3 + 3n = -8 + (5 * -7 + n * -7) -3 + 3n = -8 + (-35 + -7n) Combine like terms: -8 + -35 = -43 -3 + 3n = -43 + -7n Solving -3 + 3n = -43 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -3 + 3n + 7n = -43 + -7n + 7n Combine like terms: 3n + 7n = 10n -3 + 10n = -43 + -7n + 7n Combine like terms: -7n + 7n = 0 -3 + 10n = -43 + 0 -3 + 10n = -43 Add '3' to each side of the equation. -3 + 3 + 10n = -43 + 3 Combine like terms: -3 + 3 = 0 0 + 10n = -43 + 3 10n = -43 + 3 Combine like terms: -43 + 3 = -40 10n = -40 Divide each side by '10'. n = -4 Simplifying n = -4
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