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Simplifying 5(-2 + 4) + 2(n + 3) = 0 Combine like terms: -2 + 4 = 2 5(2) + 2(n + 3) = 0 Multiply 5 * 2 10 + 2(n + 3) = 0 Reorder the terms: 10 + 2(3 + n) = 0 10 + (3 * 2 + n * 2) = 0 10 + (6 + 2n) = 0 Combine like terms: 10 + 6 = 16 16 + 2n = 0 Solving 16 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = 0 + -16 2n = 0 + -16 Combine like terms: 0 + -16 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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