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Simplifying 3(86n + 86) = -3(7n + 565) Reorder the terms: 3(86 + 86n) = -3(7n + 565) (86 * 3 + 86n * 3) = -3(7n + 565) (258 + 258n) = -3(7n + 565) Reorder the terms: 258 + 258n = -3(565 + 7n) 258 + 258n = (565 * -3 + 7n * -3) 258 + 258n = (-1695 + -21n) Solving 258 + 258n = -1695 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 258 + 258n + 21n = -1695 + -21n + 21n Combine like terms: 258n + 21n = 279n 258 + 279n = -1695 + -21n + 21n Combine like terms: -21n + 21n = 0 258 + 279n = -1695 + 0 258 + 279n = -1695 Add '-258' to each side of the equation. 258 + -258 + 279n = -1695 + -258 Combine like terms: 258 + -258 = 0 0 + 279n = -1695 + -258 279n = -1695 + -258 Combine like terms: -1695 + -258 = -1953 279n = -1953 Divide each side by '279'. n = -7 Simplifying n = -7
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