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Simplifying 6 + 7n + -8n = 5 + n + -3n Combine like terms: 7n + -8n = -1n 6 + -1n = 5 + n + -3n Combine like terms: n + -3n = -2n 6 + -1n = 5 + -2n Solving 6 + -1n = 5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 6 + -1n + 2n = 5 + -2n + 2n Combine like terms: -1n + 2n = 1n 6 + 1n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + 1n = 5 + 0 6 + 1n = 5 Add '-6' to each side of the equation. 6 + -6 + 1n = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = 5 + -6 1n = 5 + -6 Combine like terms: 5 + -6 = -1 1n = -1 Divide each side by '1'. n = -1 Simplifying n = -1
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