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Simplifying 4(-2w + -3x) + -3(-7x + -1w) = 0 (-2w * 4 + -3x * 4) + -3(-7x + -1w) = 0 (-8w + -12x) + -3(-7x + -1w) = 0 Reorder the terms: -8w + -12x + -3(-1w + -7x) = 0 -8w + -12x + (-1w * -3 + -7x * -3) = 0 -8w + -12x + (3w + 21x) = 0 Reorder the terms: -8w + 3w + -12x + 21x = 0 Combine like terms: -8w + 3w = -5w -5w + -12x + 21x = 0 Combine like terms: -12x + 21x = 9x -5w + 9x = 0 Solving -5w + 9x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9x' to each side of the equation. -5w + 9x + -9x = 0 + -9x Combine like terms: 9x + -9x = 0 -5w + 0 = 0 + -9x -5w = 0 + -9x Remove the zero: -5w = -9x Divide each side by '-5'. w = 1.8x Simplifying w = 1.8x
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