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Simplifying -10 + 3w + 4 = 5w + 24 Reorder the terms: -10 + 4 + 3w = 5w + 24 Combine like terms: -10 + 4 = -6 -6 + 3w = 5w + 24 Reorder the terms: -6 + 3w = 24 + 5w Solving -6 + 3w = 24 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -6 + 3w + -5w = 24 + 5w + -5w Combine like terms: 3w + -5w = -2w -6 + -2w = 24 + 5w + -5w Combine like terms: 5w + -5w = 0 -6 + -2w = 24 + 0 -6 + -2w = 24 Add '6' to each side of the equation. -6 + 6 + -2w = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = 24 + 6 -2w = 24 + 6 Combine like terms: 24 + 6 = 30 -2w = 30 Divide each side by '-2'. w = -15 Simplifying w = -15
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