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Simplifying 2(3x + 4) + -2(3x + 2) = 4(x + -6) + w Reorder the terms: 2(4 + 3x) + -2(3x + 2) = 4(x + -6) + w (4 * 2 + 3x * 2) + -2(3x + 2) = 4(x + -6) + w (8 + 6x) + -2(3x + 2) = 4(x + -6) + w Reorder the terms: 8 + 6x + -2(2 + 3x) = 4(x + -6) + w 8 + 6x + (2 * -2 + 3x * -2) = 4(x + -6) + w 8 + 6x + (-4 + -6x) = 4(x + -6) + w Reorder the terms: 8 + -4 + 6x + -6x = 4(x + -6) + w Combine like terms: 8 + -4 = 4 4 + 6x + -6x = 4(x + -6) + w Combine like terms: 6x + -6x = 0 4 + 0 = 4(x + -6) + w 4 = 4(x + -6) + w Reorder the terms: 4 = 4(-6 + x) + w 4 = (-6 * 4 + x * 4) + w 4 = (-24 + 4x) + w Reorder the terms: 4 = -24 + w + 4x Solving 4 = -24 + w + 4x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 4 + -1w = -24 + w + -1w + 4x Combine like terms: w + -1w = 0 4 + -1w = -24 + 0 + 4x 4 + -1w = -24 + 4x Add '-4' to each side of the equation. 4 + -4 + -1w = -24 + -4 + 4x Combine like terms: 4 + -4 = 0 0 + -1w = -24 + -4 + 4x -1w = -24 + -4 + 4x Combine like terms: -24 + -4 = -28 -1w = -28 + 4x Divide each side by '-1'. w = 28 + -4x Simplifying w = 28 + -4x
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