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Simplifying 30 = 6(w + 8) + -4w Reorder the terms: 30 = 6(8 + w) + -4w 30 = (8 * 6 + w * 6) + -4w 30 = (48 + 6w) + -4w Combine like terms: 6w + -4w = 2w 30 = 48 + 2w Solving 30 = 48 + 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. 30 + -2w = 48 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + -2w = 48 + 0 30 + -2w = 48 Add '-30' to each side of the equation. 30 + -30 + -2w = 48 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = 48 + -30 -2w = 48 + -30 Combine like terms: 48 + -30 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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