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Simplifying 3(2n + -6) = 5n + (-15) Reorder the terms: 3(-6 + 2n) = 5n + (-15) (-6 * 3 + 2n * 3) = 5n + (-15) (-18 + 6n) = 5n + (-15) -18 + 6n = 5n + -15 Reorder the terms: -18 + 6n = -15 + 5n Solving -18 + 6n = -15 + 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. -18 + 6n + -5n = -15 + 5n + -5n Combine like terms: 6n + -5n = 1n -18 + 1n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 -18 + 1n = -15 + 0 -18 + 1n = -15 Add '18' to each side of the equation. -18 + 18 + 1n = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = -15 + 18 1n = -15 + 18 Combine like terms: -15 + 18 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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