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Simplifying 2(n + 6) + -4(n + 5) = 10 Reorder the terms: 2(6 + n) + -4(n + 5) = 10 (6 * 2 + n * 2) + -4(n + 5) = 10 (12 + 2n) + -4(n + 5) = 10 Reorder the terms: 12 + 2n + -4(5 + n) = 10 12 + 2n + (5 * -4 + n * -4) = 10 12 + 2n + (-20 + -4n) = 10 Reorder the terms: 12 + -20 + 2n + -4n = 10 Combine like terms: 12 + -20 = -8 -8 + 2n + -4n = 10 Combine like terms: 2n + -4n = -2n -8 + -2n = 10 Solving -8 + -2n = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = 10 + 8 -2n = 10 + 8 Combine like terms: 10 + 8 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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