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Simplifying 2(2w + 3x) + -3(2w + -3x) = 0 (2w * 2 + 3x * 2) + -3(2w + -3x) = 0 (4w + 6x) + -3(2w + -3x) = 0 4w + 6x + (2w * -3 + -3x * -3) = 0 4w + 6x + (-6w + 9x) = 0 Reorder the terms: 4w + -6w + 6x + 9x = 0 Combine like terms: 4w + -6w = -2w -2w + 6x + 9x = 0 Combine like terms: 6x + 9x = 15x -2w + 15x = 0 Solving -2w + 15x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. -2w + 15x + -15x = 0 + -15x Combine like terms: 15x + -15x = 0 -2w + 0 = 0 + -15x -2w = 0 + -15x Remove the zero: -2w = -15x Divide each side by '-2'. w = 7.5x Simplifying w = 7.5x
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