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Simplifying 4(n + 3) = 6(n + -1) Reorder the terms: 4(3 + n) = 6(n + -1) (3 * 4 + n * 4) = 6(n + -1) (12 + 4n) = 6(n + -1) Reorder the terms: 12 + 4n = 6(-1 + n) 12 + 4n = (-1 * 6 + n * 6) 12 + 4n = (-6 + 6n) Solving 12 + 4n = -6 + 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. 12 + 4n + -6n = -6 + 6n + -6n Combine like terms: 4n + -6n = -2n 12 + -2n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -2n = -6 + 0 12 + -2n = -6 Add '-12' to each side of the equation. 12 + -12 + -2n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = -6 + -12 -2n = -6 + -12 Combine like terms: -6 + -12 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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