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Simplifying 4(-2w + -2x) + -5(-6x + -1w) = 0 (-2w * 4 + -2x * 4) + -5(-6x + -1w) = 0 (-8w + -8x) + -5(-6x + -1w) = 0 Reorder the terms: -8w + -8x + -5(-1w + -6x) = 0 -8w + -8x + (-1w * -5 + -6x * -5) = 0 -8w + -8x + (5w + 30x) = 0 Reorder the terms: -8w + 5w + -8x + 30x = 0 Combine like terms: -8w + 5w = -3w -3w + -8x + 30x = 0 Combine like terms: -8x + 30x = 22x -3w + 22x = 0 Solving -3w + 22x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22x' to each side of the equation. -3w + 22x + -22x = 0 + -22x Combine like terms: 22x + -22x = 0 -3w + 0 = 0 + -22x -3w = 0 + -22x Remove the zero: -3w = -22x Divide each side by '-3'. w = 7.333333333x Simplifying w = 7.333333333x
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