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