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Simplifying 3(1 + 4n) + 4(3 + -6x) = -36 (1 * 3 + 4n * 3) + 4(3 + -6x) = -36 (3 + 12n) + 4(3 + -6x) = -36 3 + 12n + (3 * 4 + -6x * 4) = -36 3 + 12n + (12 + -24x) = -36 Reorder the terms: 3 + 12 + 12n + -24x = -36 Combine like terms: 3 + 12 = 15 15 + 12n + -24x = -36 Solving 15 + 12n + -24x = -36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 12n + -15 + -24x = -36 + -15 Reorder the terms: 15 + -15 + 12n + -24x = -36 + -15 Combine like terms: 15 + -15 = 0 0 + 12n + -24x = -36 + -15 12n + -24x = -36 + -15 Combine like terms: -36 + -15 = -51 12n + -24x = -51 Add '24x' to each side of the equation. 12n + -24x + 24x = -51 + 24x Combine like terms: -24x + 24x = 0 12n + 0 = -51 + 24x 12n = -51 + 24x Divide each side by '12'. n = -4.25 + 2x Simplifying n = -4.25 + 2x
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