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Simplifying -39 + 2n = 4(n + -8) + -1n Reorder the terms: -39 + 2n = 4(-8 + n) + -1n -39 + 2n = (-8 * 4 + n * 4) + -1n -39 + 2n = (-32 + 4n) + -1n Combine like terms: 4n + -1n = 3n -39 + 2n = -32 + 3n Solving -39 + 2n = -32 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -39 + 2n + -3n = -32 + 3n + -3n Combine like terms: 2n + -3n = -1n -39 + -1n = -32 + 3n + -3n Combine like terms: 3n + -3n = 0 -39 + -1n = -32 + 0 -39 + -1n = -32 Add '39' to each side of the equation. -39 + 39 + -1n = -32 + 39 Combine like terms: -39 + 39 = 0 0 + -1n = -32 + 39 -1n = -32 + 39 Combine like terms: -32 + 39 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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