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Simplifying -2(n + 5) = 4(1 + 3n) Reorder the terms: -2(5 + n) = 4(1 + 3n) (5 * -2 + n * -2) = 4(1 + 3n) (-10 + -2n) = 4(1 + 3n) -10 + -2n = (1 * 4 + 3n * 4) -10 + -2n = (4 + 12n) Solving -10 + -2n = 4 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -10 + -2n + -12n = 4 + 12n + -12n Combine like terms: -2n + -12n = -14n -10 + -14n = 4 + 12n + -12n Combine like terms: 12n + -12n = 0 -10 + -14n = 4 + 0 -10 + -14n = 4 Add '10' to each side of the equation. -10 + 10 + -14n = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -14n = 4 + 10 -14n = 4 + 10 Combine like terms: 4 + 10 = 14 -14n = 14 Divide each side by '-14'. n = -1 Simplifying n = -1
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