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Simplifying 2n + 5 = 4(n + -2) + -1n Reorder the terms: 5 + 2n = 4(n + -2) + -1n Reorder the terms: 5 + 2n = 4(-2 + n) + -1n 5 + 2n = (-2 * 4 + n * 4) + -1n 5 + 2n = (-8 + 4n) + -1n Combine like terms: 4n + -1n = 3n 5 + 2n = -8 + 3n Solving 5 + 2n = -8 + 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. 5 + 2n + -3n = -8 + 3n + -3n Combine like terms: 2n + -3n = -1n 5 + -1n = -8 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + -1n = -8 + 0 5 + -1n = -8 Add '-5' to each side of the equation. 5 + -5 + -1n = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -8 + -5 -1n = -8 + -5 Combine like terms: -8 + -5 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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