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Simplifying 3n + 10 = 7(5n + -6) + -6n Reorder the terms: 10 + 3n = 7(5n + -6) + -6n Reorder the terms: 10 + 3n = 7(-6 + 5n) + -6n 10 + 3n = (-6 * 7 + 5n * 7) + -6n 10 + 3n = (-42 + 35n) + -6n Combine like terms: 35n + -6n = 29n 10 + 3n = -42 + 29n Solving 10 + 3n = -42 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. 10 + 3n + -29n = -42 + 29n + -29n Combine like terms: 3n + -29n = -26n 10 + -26n = -42 + 29n + -29n Combine like terms: 29n + -29n = 0 10 + -26n = -42 + 0 10 + -26n = -42 Add '-10' to each side of the equation. 10 + -10 + -26n = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -26n = -42 + -10 -26n = -42 + -10 Combine like terms: -42 + -10 = -52 -26n = -52 Divide each side by '-26'. n = 2 Simplifying n = 2
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