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Simplifying 4(n + -6) + 4 = 34 + -5n Reorder the terms: 4(-6 + n) + 4 = 34 + -5n (-6 * 4 + n * 4) + 4 = 34 + -5n (-24 + 4n) + 4 = 34 + -5n Reorder the terms: -24 + 4 + 4n = 34 + -5n Combine like terms: -24 + 4 = -20 -20 + 4n = 34 + -5n Solving -20 + 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. -20 + 4n + 5n = 34 + -5n + 5n Combine like terms: 4n + 5n = 9n -20 + 9n = 34 + -5n + 5n Combine like terms: -5n + 5n = 0 -20 + 9n = 34 + 0 -20 + 9n = 34 Add '20' to each side of the equation. -20 + 20 + 9n = 34 + 20 Combine like terms: -20 + 20 = 0 0 + 9n = 34 + 20 9n = 34 + 20 Combine like terms: 34 + 20 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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