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Simplifying -4(-2w + -3x) + -2(-1x + -7w) = 0 (-2w * -4 + -3x * -4) + -2(-1x + -7w) = 0 (8w + 12x) + -2(-1x + -7w) = 0 Reorder the terms: 8w + 12x + -2(-7w + -1x) = 0 8w + 12x + (-7w * -2 + -1x * -2) = 0 8w + 12x + (14w + 2x) = 0 Reorder the terms: 8w + 14w + 12x + 2x = 0 Combine like terms: 8w + 14w = 22w 22w + 12x + 2x = 0 Combine like terms: 12x + 2x = 14x 22w + 14x = 0 Solving 22w + 14x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 22w + 14x + -14x = 0 + -14x Combine like terms: 14x + -14x = 0 22w + 0 = 0 + -14x 22w = 0 + -14x Remove the zero: 22w = -14x Divide each side by '22'. w = -0.6363636364x Simplifying w = -0.6363636364x
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