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Simplifying 4(n + -3) = 14 + -2(n + 1) Reorder the terms: 4(-3 + n) = 14 + -2(n + 1) (-3 * 4 + n * 4) = 14 + -2(n + 1) (-12 + 4n) = 14 + -2(n + 1) Reorder the terms: -12 + 4n = 14 + -2(1 + n) -12 + 4n = 14 + (1 * -2 + n * -2) -12 + 4n = 14 + (-2 + -2n) Combine like terms: 14 + -2 = 12 -12 + 4n = 12 + -2n Solving -12 + 4n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -12 + 4n + 2n = 12 + -2n + 2n Combine like terms: 4n + 2n = 6n -12 + 6n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -12 + 6n = 12 + 0 -12 + 6n = 12 Add '12' to each side of the equation. -12 + 12 + 6n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 12 + 12 6n = 12 + 12 Combine like terms: 12 + 12 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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