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Simplifying 4(6 + 8n) + -5 = 6n + -33 (6 * 4 + 8n * 4) + -5 = 6n + -33 (24 + 32n) + -5 = 6n + -33 Reorder the terms: 24 + -5 + 32n = 6n + -33 Combine like terms: 24 + -5 = 19 19 + 32n = 6n + -33 Reorder the terms: 19 + 32n = -33 + 6n Solving 19 + 32n = -33 + 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. 19 + 32n + -6n = -33 + 6n + -6n Combine like terms: 32n + -6n = 26n 19 + 26n = -33 + 6n + -6n Combine like terms: 6n + -6n = 0 19 + 26n = -33 + 0 19 + 26n = -33 Add '-19' to each side of the equation. 19 + -19 + 26n = -33 + -19 Combine like terms: 19 + -19 = 0 0 + 26n = -33 + -19 26n = -33 + -19 Combine like terms: -33 + -19 = -52 26n = -52 Divide each side by '26'. n = -2 Simplifying n = -2
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