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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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