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Simplifying 2w + 2(3w + -4) = 9 + -4w + -7 + -2w Reorder the terms: 2w + 2(-4 + 3w) = 9 + -4w + -7 + -2w 2w + (-4 * 2 + 3w * 2) = 9 + -4w + -7 + -2w 2w + (-8 + 6w) = 9 + -4w + -7 + -2w Reorder the terms: -8 + 2w + 6w = 9 + -4w + -7 + -2w Combine like terms: 2w + 6w = 8w -8 + 8w = 9 + -4w + -7 + -2w Reorder the terms: -8 + 8w = 9 + -7 + -4w + -2w Combine like terms: 9 + -7 = 2 -8 + 8w = 2 + -4w + -2w Combine like terms: -4w + -2w = -6w -8 + 8w = 2 + -6w Solving -8 + 8w = 2 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -8 + 8w + 6w = 2 + -6w + 6w Combine like terms: 8w + 6w = 14w -8 + 14w = 2 + -6w + 6w Combine like terms: -6w + 6w = 0 -8 + 14w = 2 + 0 -8 + 14w = 2 Add '8' to each side of the equation. -8 + 8 + 14w = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 14w = 2 + 8 14w = 2 + 8 Combine like terms: 2 + 8 = 10 14w = 10 Divide each side by '14'. w = 0.7142857143 Simplifying w = 0.7142857143
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