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Simplifying -38 = 4(n + -2) + 2n Reorder the terms: -38 = 4(-2 + n) + 2n -38 = (-2 * 4 + n * 4) + 2n -38 = (-8 + 4n) + 2n Combine like terms: 4n + 2n = 6n -38 = -8 + 6n Solving -38 = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -38 + -6n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 -38 + -6n = -8 + 0 -38 + -6n = -8 Add '38' to each side of the equation. -38 + 38 + -6n = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -6n = -8 + 38 -6n = -8 + 38 Combine like terms: -8 + 38 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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