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Simplifying 10 + 7n = 5n + -6 Reorder the terms: 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 = 2n 10 + 2n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + 2n = -6 + 0 10 + 2n = -6 Add '-10' to each side of the equation. 10 + -10 + 2n = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = -6 + -10 2n = -6 + -10 Combine like terms: -6 + -10 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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