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Simplifying -3w + -1(-7x + 2w) + -6x = 0 Reorder the terms: -3w + -1(2w + -7x) + -6x = 0 -3w + (2w * -1 + -7x * -1) + -6x = 0 -3w + (-2w + 7x) + -6x = 0 Combine like terms: -3w + -2w = -5w -5w + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x -5w + 1x = 0 Solving -5w + 1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. -5w + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 -5w + 0 = 0 + -1x -5w = 0 + -1x Remove the zero: -5w = -1x Divide each side by '-5'. w = 0.2x Simplifying w = 0.2x
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