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Simplifying -8(2n + -1) = 4(n + 7) Reorder the terms: -8(-1 + 2n) = 4(n + 7) (-1 * -8 + 2n * -8) = 4(n + 7) (8 + -16n) = 4(n + 7) Reorder the terms: 8 + -16n = 4(7 + n) 8 + -16n = (7 * 4 + n * 4) 8 + -16n = (28 + 4n) Solving 8 + -16n = 28 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 8 + -16n + -4n = 28 + 4n + -4n Combine like terms: -16n + -4n = -20n 8 + -20n = 28 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -20n = 28 + 0 8 + -20n = 28 Add '-8' to each side of the equation. 8 + -8 + -20n = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -20n = 28 + -8 -20n = 28 + -8 Combine like terms: 28 + -8 = 20 -20n = 20 Divide each side by '-20'. n = -1 Simplifying n = -1
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