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Simplifying 6n + -1(5n + 5) = -8 + -2(n + 12) Reorder the terms: 6n + -1(5 + 5n) = -8 + -2(n + 12) 6n + (5 * -1 + 5n * -1) = -8 + -2(n + 12) 6n + (-5 + -5n) = -8 + -2(n + 12) Reorder the terms: -5 + 6n + -5n = -8 + -2(n + 12) Combine like terms: 6n + -5n = 1n -5 + 1n = -8 + -2(n + 12) Reorder the terms: -5 + 1n = -8 + -2(12 + n) -5 + 1n = -8 + (12 * -2 + n * -2) -5 + 1n = -8 + (-24 + -2n) Combine like terms: -8 + -24 = -32 -5 + 1n = -32 + -2n Solving -5 + 1n = -32 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -5 + 1n + 2n = -32 + -2n + 2n Combine like terms: 1n + 2n = 3n -5 + 3n = -32 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + 3n = -32 + 0 -5 + 3n = -32 Add '5' to each side of the equation. -5 + 5 + 3n = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = -32 + 5 3n = -32 + 5 Combine like terms: -32 + 5 = -27 3n = -27 Divide each side by '3'. n = -9 Simplifying n = -9
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