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Simplifying 2(3n + 5) = (n + -10) Reorder the terms: 2(5 + 3n) = (n + -10) (5 * 2 + 3n * 2) = (n + -10) (10 + 6n) = (n + -10) Reorder the terms: 10 + 6n = (-10 + n) Remove parenthesis around (-10 + n) 10 + 6n = -10 + n Solving 10 + 6n = -10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + 6n + -1n = -10 + n + -1n Combine like terms: 6n + -1n = 5n 10 + 5n = -10 + n + -1n Combine like terms: n + -1n = 0 10 + 5n = -10 + 0 10 + 5n = -10 Add '-10' to each side of the equation. 10 + -10 + 5n = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 5n = -10 + -10 5n = -10 + -10 Combine like terms: -10 + -10 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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