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Simplifying 2(n + -4) = -23 + 5n Reorder the terms: 2(-4 + n) = -23 + 5n (-4 * 2 + n * 2) = -23 + 5n (-8 + 2n) = -23 + 5n Solving -8 + 2n = -23 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -8 + 2n + -5n = -23 + 5n + -5n Combine like terms: 2n + -5n = -3n -8 + -3n = -23 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + -3n = -23 + 0 -8 + -3n = -23 Add '8' to each side of the equation. -8 + 8 + -3n = -23 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = -23 + 8 -3n = -23 + 8 Combine like terms: -23 + 8 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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