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Simplifying 6w + -1(7x + -2w) + 4 = 0 Reorder the terms: 6w + -1(-2w + 7x) + 4 = 0 6w + (-2w * -1 + 7x * -1) + 4 = 0 6w + (2w + -7x) + 4 = 0 Reorder the terms: 4 + 6w + 2w + -7x = 0 Combine like terms: 6w + 2w = 8w 4 + 8w + -7x = 0 Solving 4 + 8w + -7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8w + -4 + -7x = 0 + -4 Reorder the terms: 4 + -4 + 8w + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8w + -7x = 0 + -4 8w + -7x = 0 + -4 Combine like terms: 0 + -4 = -4 8w + -7x = -4 Add '7x' to each side of the equation. 8w + -7x + 7x = -4 + 7x Combine like terms: -7x + 7x = 0 8w + 0 = -4 + 7x 8w = -4 + 7x Divide each side by '8'. w = -0.5 + 0.875x Simplifying w = -0.5 + 0.875x
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