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Simplifying 4(7 + -2n) + 4n = -5n + 34 (7 * 4 + -2n * 4) + 4n = -5n + 34 (28 + -8n) + 4n = -5n + 34 Combine like terms: -8n + 4n = -4n 28 + -4n = -5n + 34 Reorder the terms: 28 + -4n = 34 + -5n Solving 28 + -4n = 34 + -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. 28 + -4n + 5n = 34 + -5n + 5n Combine like terms: -4n + 5n = 1n 28 + 1n = 34 + -5n + 5n Combine like terms: -5n + 5n = 0 28 + 1n = 34 + 0 28 + 1n = 34 Add '-28' to each side of the equation. 28 + -28 + 1n = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 1n = 34 + -28 1n = 34 + -28 Combine like terms: 34 + -28 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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