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Simplifying -1 + -4(2n + 2) = 39 + -2n Reorder the terms: -1 + -4(2 + 2n) = 39 + -2n -1 + (2 * -4 + 2n * -4) = 39 + -2n -1 + (-8 + -8n) = 39 + -2n Combine like terms: -1 + -8 = -9 -9 + -8n = 39 + -2n Solving -9 + -8n = 39 + -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. -9 + -8n + 2n = 39 + -2n + 2n Combine like terms: -8n + 2n = -6n -9 + -6n = 39 + -2n + 2n Combine like terms: -2n + 2n = 0 -9 + -6n = 39 + 0 -9 + -6n = 39 Add '9' to each side of the equation. -9 + 9 + -6n = 39 + 9 Combine like terms: -9 + 9 = 0 0 + -6n = 39 + 9 -6n = 39 + 9 Combine like terms: 39 + 9 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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