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Simplifying -3(4x + 3) + 4(6x + 1n) = 43 Reorder the terms: -3(3 + 4x) + 4(6x + 1n) = 43 (3 * -3 + 4x * -3) + 4(6x + 1n) = 43 (-9 + -12x) + 4(6x + 1n) = 43 Reorder the terms: -9 + -12x + 4(1n + 6x) = 43 -9 + -12x + (1n * 4 + 6x * 4) = 43 -9 + -12x + (4n + 24x) = 43 Reorder the terms: -9 + 4n + -12x + 24x = 43 Combine like terms: -12x + 24x = 12x -9 + 4n + 12x = 43 Solving -9 + 4n + 12x = 43 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4n + 9 + 12x = 43 + 9 Reorder the terms: -9 + 9 + 4n + 12x = 43 + 9 Combine like terms: -9 + 9 = 0 0 + 4n + 12x = 43 + 9 4n + 12x = 43 + 9 Combine like terms: 43 + 9 = 52 4n + 12x = 52 Add '-12x' to each side of the equation. 4n + 12x + -12x = 52 + -12x Combine like terms: 12x + -12x = 0 4n + 0 = 52 + -12x 4n = 52 + -12x Divide each side by '4'. n = 13 + -3x Simplifying n = 13 + -3x
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