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Simplifying 3(1 + 4n) + -2 + 4(3 + -6x) = -36 (1 * 3 + 4n * 3) + -2 + 4(3 + -6x) = -36 (3 + 12n) + -2 + 4(3 + -6x) = -36 3 + 12n + -2 + (3 * 4 + -6x * 4) = -36 3 + 12n + -2 + (12 + -24x) = -36 Reorder the terms: 3 + -2 + 12 + 12n + -24x = -36 Combine like terms: 3 + -2 = 1 1 + 12 + 12n + -24x = -36 Combine like terms: 1 + 12 = 13 13 + 12n + -24x = -36 Solving 13 + 12n + -24x = -36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 12n + -13 + -24x = -36 + -13 Reorder the terms: 13 + -13 + 12n + -24x = -36 + -13 Combine like terms: 13 + -13 = 0 0 + 12n + -24x = -36 + -13 12n + -24x = -36 + -13 Combine like terms: -36 + -13 = -49 12n + -24x = -49 Add '24x' to each side of the equation. 12n + -24x + 24x = -49 + 24x Combine like terms: -24x + 24x = 0 12n + 0 = -49 + 24x 12n = -49 + 24x Divide each side by '12'. n = -4.083333333 + 2x Simplifying n = -4.083333333 + 2x
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