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Simplifying 5(1 + -1n) = -7n + -7 (1 * 5 + -1n * 5) = -7n + -7 (5 + -5n) = -7n + -7 Reorder the terms: 5 + -5n = -7 + -7n Solving 5 + -5n = -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. 5 + -5n + 7n = -7 + -7n + 7n Combine like terms: -5n + 7n = 2n 5 + 2n = -7 + -7n + 7n Combine like terms: -7n + 7n = 0 5 + 2n = -7 + 0 5 + 2n = -7 Add '-5' to each side of the equation. 5 + -5 + 2n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = -7 + -5 2n = -7 + -5 Combine like terms: -7 + -5 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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