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Simplifying 7n + 3(7 + n) = -1(n + 4) 7n + (7 * 3 + n * 3) = -1(n + 4) 7n + (21 + 3n) = -1(n + 4) Reorder the terms: 21 + 7n + 3n = -1(n + 4) Combine like terms: 7n + 3n = 10n 21 + 10n = -1(n + 4) Reorder the terms: 21 + 10n = -1(4 + n) 21 + 10n = (4 * -1 + n * -1) 21 + 10n = (-4 + -1n) Solving 21 + 10n = -4 + -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. 21 + 10n + n = -4 + -1n + n Combine like terms: 10n + n = 11n 21 + 11n = -4 + -1n + n Combine like terms: -1n + n = 0 21 + 11n = -4 + 0 21 + 11n = -4 Add '-21' to each side of the equation. 21 + -21 + 11n = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 11n = -4 + -21 11n = -4 + -21 Combine like terms: -4 + -21 = -25 11n = -25 Divide each side by '11'. n = -2.272727273 Simplifying n = -2.272727273
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