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Simplifying -1(n + -7) = -8 + -7(n + -3) Reorder the terms: -1(-7 + n) = -8 + -7(n + -3) (-7 * -1 + n * -1) = -8 + -7(n + -3) (7 + -1n) = -8 + -7(n + -3) Reorder the terms: 7 + -1n = -8 + -7(-3 + n) 7 + -1n = -8 + (-3 * -7 + n * -7) 7 + -1n = -8 + (21 + -7n) Combine like terms: -8 + 21 = 13 7 + -1n = 13 + -7n Solving 7 + -1n = 13 + -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. 7 + -1n + 7n = 13 + -7n + 7n Combine like terms: -1n + 7n = 6n 7 + 6n = 13 + -7n + 7n Combine like terms: -7n + 7n = 0 7 + 6n = 13 + 0 7 + 6n = 13 Add '-7' to each side of the equation. 7 + -7 + 6n = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 13 + -7 6n = 13 + -7 Combine like terms: 13 + -7 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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