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Simplifying -1(n + -4) = -7(2n + -8) Reorder the terms: -1(-4 + n) = -7(2n + -8) (-4 * -1 + n * -1) = -7(2n + -8) (4 + -1n) = -7(2n + -8) Reorder the terms: 4 + -1n = -7(-8 + 2n) 4 + -1n = (-8 * -7 + 2n * -7) 4 + -1n = (56 + -14n) Solving 4 + -1n = 56 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 4 + -1n + 14n = 56 + -14n + 14n Combine like terms: -1n + 14n = 13n 4 + 13n = 56 + -14n + 14n Combine like terms: -14n + 14n = 0 4 + 13n = 56 + 0 4 + 13n = 56 Add '-4' to each side of the equation. 4 + -4 + 13n = 56 + -4 Combine like terms: 4 + -4 = 0 0 + 13n = 56 + -4 13n = 56 + -4 Combine like terms: 56 + -4 = 52 13n = 52 Divide each side by '13'. n = 4 Simplifying n = 4
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