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Simplifying 7(2 + -2n) + 5 = -2(5n + -5) (2 * 7 + -2n * 7) + 5 = -2(5n + -5) (14 + -14n) + 5 = -2(5n + -5) Reorder the terms: 14 + 5 + -14n = -2(5n + -5) Combine like terms: 14 + 5 = 19 19 + -14n = -2(5n + -5) Reorder the terms: 19 + -14n = -2(-5 + 5n) 19 + -14n = (-5 * -2 + 5n * -2) 19 + -14n = (10 + -10n) Solving 19 + -14n = 10 + -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. 19 + -14n + 10n = 10 + -10n + 10n Combine like terms: -14n + 10n = -4n 19 + -4n = 10 + -10n + 10n Combine like terms: -10n + 10n = 0 19 + -4n = 10 + 0 19 + -4n = 10 Add '-19' to each side of the equation. 19 + -19 + -4n = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -4n = 10 + -19 -4n = 10 + -19 Combine like terms: 10 + -19 = -9 -4n = -9 Divide each side by '-4'. n = 2.25 Simplifying n = 2.25
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