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Simplifying 3(1 + 4n) + -2(3 + -6x) = -36 (1 * 3 + 4n * 3) + -2(3 + -6x) = -36 (3 + 12n) + -2(3 + -6x) = -36 3 + 12n + (3 * -2 + -6x * -2) = -36 3 + 12n + (-6 + 12x) = -36 Reorder the terms: 3 + -6 + 12n + 12x = -36 Combine like terms: 3 + -6 = -3 -3 + 12n + 12x = -36 Solving -3 + 12n + 12x = -36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12n + 3 + 12x = -36 + 3 Reorder the terms: -3 + 3 + 12n + 12x = -36 + 3 Combine like terms: -3 + 3 = 0 0 + 12n + 12x = -36 + 3 12n + 12x = -36 + 3 Combine like terms: -36 + 3 = -33 12n + 12x = -33 Add '-12x' to each side of the equation. 12n + 12x + -12x = -33 + -12x Combine like terms: 12x + -12x = 0 12n + 0 = -33 + -12x 12n = -33 + -12x Divide each side by '12'. n = -2.75 + -1x Simplifying n = -2.75 + -1x
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