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Simplifying 8n + 2(2n + -4) = -1(17 + 7n) Reorder the terms: 8n + 2(-4 + 2n) = -1(17 + 7n) 8n + (-4 * 2 + 2n * 2) = -1(17 + 7n) 8n + (-8 + 4n) = -1(17 + 7n) Reorder the terms: -8 + 8n + 4n = -1(17 + 7n) Combine like terms: 8n + 4n = 12n -8 + 12n = -1(17 + 7n) -8 + 12n = (17 * -1 + 7n * -1) -8 + 12n = (-17 + -7n) Solving -8 + 12n = -17 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -8 + 12n + 7n = -17 + -7n + 7n Combine like terms: 12n + 7n = 19n -8 + 19n = -17 + -7n + 7n Combine like terms: -7n + 7n = 0 -8 + 19n = -17 + 0 -8 + 19n = -17 Add '8' to each side of the equation. -8 + 8 + 19n = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 19n = -17 + 8 19n = -17 + 8 Combine like terms: -17 + 8 = -9 19n = -9 Divide each side by '19'. n = -0.4736842105 Simplifying n = -0.4736842105
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