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Simplifying -3(-2w + -1x) + -2(-7x + -7w) = 0 (-2w * -3 + -1x * -3) + -2(-7x + -7w) = 0 (6w + 3x) + -2(-7x + -7w) = 0 Reorder the terms: 6w + 3x + -2(-7w + -7x) = 0 6w + 3x + (-7w * -2 + -7x * -2) = 0 6w + 3x + (14w + 14x) = 0 Reorder the terms: 6w + 14w + 3x + 14x = 0 Combine like terms: 6w + 14w = 20w 20w + 3x + 14x = 0 Combine like terms: 3x + 14x = 17x 20w + 17x = 0 Solving 20w + 17x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17x' to each side of the equation. 20w + 17x + -17x = 0 + -17x Combine like terms: 17x + -17x = 0 20w + 0 = 0 + -17x 20w = 0 + -17x Remove the zero: 20w = -17x Divide each side by '20'. w = -0.85x Simplifying w = -0.85x
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