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Simplifying 15 + n + n + n = 51 + -1n + -1n + -1n Combine like terms: n + n = 2n 15 + 2n + n = 51 + -1n + -1n + -1n Combine like terms: 2n + n = 3n 15 + 3n = 51 + -1n + -1n + -1n Combine like terms: -1n + -1n = -2n 15 + 3n = 51 + -2n + -1n Combine like terms: -2n + -1n = -3n 15 + 3n = 51 + -3n Solving 15 + 3n = 51 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 15 + 3n + 3n = 51 + -3n + 3n Combine like terms: 3n + 3n = 6n 15 + 6n = 51 + -3n + 3n Combine like terms: -3n + 3n = 0 15 + 6n = 51 + 0 15 + 6n = 51 Add '-15' to each side of the equation. 15 + -15 + 6n = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = 51 + -15 6n = 51 + -15 Combine like terms: 51 + -15 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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