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Simplifying 3(2n + -6) + 10 = 5n + -8 Reorder the terms: 3(-6 + 2n) + 10 = 5n + -8 (-6 * 3 + 2n * 3) + 10 = 5n + -8 (-18 + 6n) + 10 = 5n + -8 Reorder the terms: -18 + 10 + 6n = 5n + -8 Combine like terms: -18 + 10 = -8 -8 + 6n = 5n + -8 Reorder the terms: -8 + 6n = -8 + 5n Add '8' to each side of the equation. -8 + 8 + 6n = -8 + 8 + 5n Combine like terms: -8 + 8 = 0 0 + 6n = -8 + 8 + 5n 6n = -8 + 8 + 5n Combine like terms: -8 + 8 = 0 6n = 0 + 5n 6n = 5n Solving 6n = 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. 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n 1n = 5n + -5n Combine like terms: 5n + -5n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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