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Simplifying x + 8 + 2(n + -2) = 7 + 4(x + -5) Reorder the terms: x + 8 + 2(-2 + n) = 7 + 4(x + -5) x + 8 + (-2 * 2 + n * 2) = 7 + 4(x + -5) x + 8 + (-4 + 2n) = 7 + 4(x + -5) Reorder the terms: 8 + -4 + 2n + x = 7 + 4(x + -5) Combine like terms: 8 + -4 = 4 4 + 2n + x = 7 + 4(x + -5) Reorder the terms: 4 + 2n + x = 7 + 4(-5 + x) 4 + 2n + x = 7 + (-5 * 4 + x * 4) 4 + 2n + x = 7 + (-20 + 4x) Combine like terms: 7 + -20 = -13 4 + 2n + x = -13 + 4x Solving 4 + 2n + x = -13 + 4x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2n + -4 + x = -13 + -4 + 4x Reorder the terms: 4 + -4 + 2n + x = -13 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + 2n + x = -13 + -4 + 4x 2n + x = -13 + -4 + 4x Combine like terms: -13 + -4 = -17 2n + x = -17 + 4x Add '-1x' to each side of the equation. 2n + x + -1x = -17 + 4x + -1x Combine like terms: x + -1x = 0 2n + 0 = -17 + 4x + -1x 2n = -17 + 4x + -1x Combine like terms: 4x + -1x = 3x 2n = -17 + 3x Divide each side by '2'. n = -8.5 + 1.5x Simplifying n = -8.5 + 1.5x
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