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Simplifying 6(n + 5) + 4n = 46 + -1(n + -17) Reorder the terms: 6(5 + n) + 4n = 46 + -1(n + -17) (5 * 6 + n * 6) + 4n = 46 + -1(n + -17) (30 + 6n) + 4n = 46 + -1(n + -17) Combine like terms: 6n + 4n = 10n 30 + 10n = 46 + -1(n + -17) Reorder the terms: 30 + 10n = 46 + -1(-17 + n) 30 + 10n = 46 + (-17 * -1 + n * -1) 30 + 10n = 46 + (17 + -1n) Combine like terms: 46 + 17 = 63 30 + 10n = 63 + -1n Solving 30 + 10n = 63 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 30 + 10n + n = 63 + -1n + n Combine like terms: 10n + n = 11n 30 + 11n = 63 + -1n + n Combine like terms: -1n + n = 0 30 + 11n = 63 + 0 30 + 11n = 63 Add '-30' to each side of the equation. 30 + -30 + 11n = 63 + -30 Combine like terms: 30 + -30 = 0 0 + 11n = 63 + -30 11n = 63 + -30 Combine like terms: 63 + -30 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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