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Simplifying 3(n + -6) = 2(-2 + 6n) + 5n Reorder the terms: 3(-6 + n) = 2(-2 + 6n) + 5n (-6 * 3 + n * 3) = 2(-2 + 6n) + 5n (-18 + 3n) = 2(-2 + 6n) + 5n -18 + 3n = (-2 * 2 + 6n * 2) + 5n -18 + 3n = (-4 + 12n) + 5n Combine like terms: 12n + 5n = 17n -18 + 3n = -4 + 17n Solving -18 + 3n = -4 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -18 + 3n + -17n = -4 + 17n + -17n Combine like terms: 3n + -17n = -14n -18 + -14n = -4 + 17n + -17n Combine like terms: 17n + -17n = 0 -18 + -14n = -4 + 0 -18 + -14n = -4 Add '18' to each side of the equation. -18 + 18 + -14n = -4 + 18 Combine like terms: -18 + 18 = 0 0 + -14n = -4 + 18 -14n = -4 + 18 Combine like terms: -4 + 18 = 14 -14n = 14 Divide each side by '-14'. n = -1 Simplifying n = -1
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