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Simplifying -3(2w + -1x) + -2(-6x + -7w) = 0 (2w * -3 + -1x * -3) + -2(-6x + -7w) = 0 (-6w + 3x) + -2(-6x + -7w) = 0 Reorder the terms: -6w + 3x + -2(-7w + -6x) = 0 -6w + 3x + (-7w * -2 + -6x * -2) = 0 -6w + 3x + (14w + 12x) = 0 Reorder the terms: -6w + 14w + 3x + 12x = 0 Combine like terms: -6w + 14w = 8w 8w + 3x + 12x = 0 Combine like terms: 3x + 12x = 15x 8w + 15x = 0 Solving 8w + 15x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 8w + 15x + -15x = 0 + -15x Combine like terms: 15x + -15x = 0 8w + 0 = 0 + -15x 8w = 0 + -15x Remove the zero: 8w = -15x Divide each side by '8'. w = -1.875x Simplifying w = -1.875x
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