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Simplifying -2w + 30 = 4(w + 6) Reorder the terms: 30 + -2w = 4(w + 6) Reorder the terms: 30 + -2w = 4(6 + w) 30 + -2w = (6 * 4 + w * 4) 30 + -2w = (24 + 4w) Solving 30 + -2w = 24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 30 + -2w + -4w = 24 + 4w + -4w Combine like terms: -2w + -4w = -6w 30 + -6w = 24 + 4w + -4w Combine like terms: 4w + -4w = 0 30 + -6w = 24 + 0 30 + -6w = 24 Add '-30' to each side of the equation. 30 + -30 + -6w = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -6w = 24 + -30 -6w = 24 + -30 Combine like terms: 24 + -30 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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