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Simplifying 2(3n + 5) = 4(n + -3) Reorder the terms: 2(5 + 3n) = 4(n + -3) (5 * 2 + 3n * 2) = 4(n + -3) (10 + 6n) = 4(n + -3) Reorder the terms: 10 + 6n = 4(-3 + n) 10 + 6n = (-3 * 4 + n * 4) 10 + 6n = (-12 + 4n) Solving 10 + 6n = -12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 10 + 6n + -4n = -12 + 4n + -4n Combine like terms: 6n + -4n = 2n 10 + 2n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + 2n = -12 + 0 10 + 2n = -12 Add '-10' to each side of the equation. 10 + -10 + 2n = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = -12 + -10 2n = -12 + -10 Combine like terms: -12 + -10 = -22 2n = -22 Divide each side by '2'. n = -11 Simplifying n = -11
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