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Simplifying 10 + 7n = 6 + -5n Solving 10 + 7n = 6 + -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. 10 + 7n + 5n = 6 + -5n + 5n Combine like terms: 7n + 5n = 12n 10 + 12n = 6 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + 12n = 6 + 0 10 + 12n = 6 Add '-10' to each side of the equation. 10 + -10 + 12n = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 12n = 6 + -10 12n = 6 + -10 Combine like terms: 6 + -10 = -4 12n = -4 Divide each side by '12'. n = -0.3333333333 Simplifying n = -0.3333333333
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