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Simplifying 4w + -24 + 6 = 6w + 24 Reorder the terms: -24 + 6 + 4w = 6w + 24 Combine like terms: -24 + 6 = -18 -18 + 4w = 6w + 24 Reorder the terms: -18 + 4w = 24 + 6w Solving -18 + 4w = 24 + 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. -18 + 4w + -6w = 24 + 6w + -6w Combine like terms: 4w + -6w = -2w -18 + -2w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + -2w = 24 + 0 -18 + -2w = 24 Add '18' to each side of the equation. -18 + 18 + -2w = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = 24 + 18 -2w = 24 + 18 Combine like terms: 24 + 18 = 42 -2w = 42 Divide each side by '-2'. w = -21 Simplifying w = -21
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