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Simplifying 3(n + -1) = 7(1 + -1n) Reorder the terms: 3(-1 + n) = 7(1 + -1n) (-1 * 3 + n * 3) = 7(1 + -1n) (-3 + 3n) = 7(1 + -1n) -3 + 3n = (1 * 7 + -1n * 7) -3 + 3n = (7 + -7n) Solving -3 + 3n = 7 + -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 = 7 + -7n + 7n Combine like terms: 3n + 7n = 10n -3 + 10n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 -3 + 10n = 7 + 0 -3 + 10n = 7 Add '3' to each side of the equation. -3 + 3 + 10n = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10n = 7 + 3 10n = 7 + 3 Combine like terms: 7 + 3 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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