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Simplifying 5n + 10 = -6 + 7n Reorder the terms: 10 + 5n = -6 + 7n Solving 10 + 5n = -6 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 10 + 5n + -7n = -6 + 7n + -7n Combine like terms: 5n + -7n = -2n 10 + -2n = -6 + 7n + -7n Combine like terms: 7n + -7n = 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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