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Simplifying -1(2n + 7) = 8 + -1n Reorder the terms: -1(7 + 2n) = 8 + -1n (7 * -1 + 2n * -1) = 8 + -1n (-7 + -2n) = 8 + -1n Solving -7 + -2n = 8 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -7 + -2n + n = 8 + -1n + n Combine like terms: -2n + n = -1n -7 + -1n = 8 + -1n + n Combine like terms: -1n + n = 0 -7 + -1n = 8 + 0 -7 + -1n = 8 Add '7' to each side of the equation. -7 + 7 + -1n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 8 + 7 -1n = 8 + 7 Combine like terms: 8 + 7 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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