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Simplifying 3(15 + 4n) + -4(3 + -6x) = 2 (15 * 3 + 4n * 3) + -4(3 + -6x) = 2 (45 + 12n) + -4(3 + -6x) = 2 45 + 12n + (3 * -4 + -6x * -4) = 2 45 + 12n + (-12 + 24x) = 2 Reorder the terms: 45 + -12 + 12n + 24x = 2 Combine like terms: 45 + -12 = 33 33 + 12n + 24x = 2 Solving 33 + 12n + 24x = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 12n + -33 + 24x = 2 + -33 Reorder the terms: 33 + -33 + 12n + 24x = 2 + -33 Combine like terms: 33 + -33 = 0 0 + 12n + 24x = 2 + -33 12n + 24x = 2 + -33 Combine like terms: 2 + -33 = -31 12n + 24x = -31 Add '-24x' to each side of the equation. 12n + 24x + -24x = -31 + -24x Combine like terms: 24x + -24x = 0 12n + 0 = -31 + -24x 12n = -31 + -24x Divide each side by '12'. n = -2.583333333 + -2x Simplifying n = -2.583333333 + -2x
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