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Simplifying 7(1 + -2n) = -5(5 + 2n) (1 * 7 + -2n * 7) = -5(5 + 2n) (7 + -14n) = -5(5 + 2n) 7 + -14n = (5 * -5 + 2n * -5) 7 + -14n = (-25 + -10n) Solving 7 + -14n = -25 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 7 + -14n + 10n = -25 + -10n + 10n Combine like terms: -14n + 10n = -4n 7 + -4n = -25 + -10n + 10n Combine like terms: -10n + 10n = 0 7 + -4n = -25 + 0 7 + -4n = -25 Add '-7' to each side of the equation. 7 + -7 + -4n = -25 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = -25 + -7 -4n = -25 + -7 Combine like terms: -25 + -7 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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