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Simplifying 3(2n + -6) = -1(n + -3) Reorder the terms: 3(-6 + 2n) = -1(n + -3) (-6 * 3 + 2n * 3) = -1(n + -3) (-18 + 6n) = -1(n + -3) Reorder the terms: -18 + 6n = -1(-3 + n) -18 + 6n = (-3 * -1 + n * -1) -18 + 6n = (3 + -1n) Solving -18 + 6n = 3 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -18 + 6n + n = 3 + -1n + n Combine like terms: 6n + n = 7n -18 + 7n = 3 + -1n + n Combine like terms: -1n + n = 0 -18 + 7n = 3 + 0 -18 + 7n = 3 Add '18' to each side of the equation. -18 + 18 + 7n = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 7n = 3 + 18 7n = 3 + 18 Combine like terms: 3 + 18 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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