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Simplifying 3(2n + -6) = -4(n + -3) Reorder the terms: 3(-6 + 2n) = -4(n + -3) (-6 * 3 + 2n * 3) = -4(n + -3) (-18 + 6n) = -4(n + -3) Reorder the terms: -18 + 6n = -4(-3 + n) -18 + 6n = (-3 * -4 + n * -4) -18 + 6n = (12 + -4n) Solving -18 + 6n = 12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -18 + 6n + 4n = 12 + -4n + 4n Combine like terms: 6n + 4n = 10n -18 + 10n = 12 + -4n + 4n Combine like terms: -4n + 4n = 0 -18 + 10n = 12 + 0 -18 + 10n = 12 Add '18' to each side of the equation. -18 + 18 + 10n = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10n = 12 + 18 10n = 12 + 18 Combine like terms: 12 + 18 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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