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Simplifying -2(2w + -6) + 4 = 4w + 30 + -2w Reorder the terms: -2(-6 + 2w) + 4 = 4w + 30 + -2w (-6 * -2 + 2w * -2) + 4 = 4w + 30 + -2w (12 + -4w) + 4 = 4w + 30 + -2w Reorder the terms: 12 + 4 + -4w = 4w + 30 + -2w Combine like terms: 12 + 4 = 16 16 + -4w = 4w + 30 + -2w Reorder the terms: 16 + -4w = 30 + 4w + -2w Combine like terms: 4w + -2w = 2w 16 + -4w = 30 + 2w Solving 16 + -4w = 30 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 16 + -4w + -2w = 30 + 2w + -2w Combine like terms: -4w + -2w = -6w 16 + -6w = 30 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + -6w = 30 + 0 16 + -6w = 30 Add '-16' to each side of the equation. 16 + -16 + -6w = 30 + -16 Combine like terms: 16 + -16 = 0 0 + -6w = 30 + -16 -6w = 30 + -16 Combine like terms: 30 + -16 = 14 -6w = 14 Divide each side by '-6'. w = -2.333333333 Simplifying w = -2.333333333
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