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Simplifying 5n + -7(1 + n) = 5 5n + (1 * -7 + n * -7) = 5 5n + (-7 + -7n) = 5 Reorder the terms: -7 + 5n + -7n = 5 Combine like terms: 5n + -7n = -2n -7 + -2n = 5 Solving -7 + -2n = 5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2n = 5 + 7 -2n = 5 + 7 Combine like terms: 5 + 7 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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