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Simplifying 6(w + -5) + -3w = w + 10 Reorder the terms: 6(-5 + w) + -3w = w + 10 (-5 * 6 + w * 6) + -3w = w + 10 (-30 + 6w) + -3w = w + 10 Combine like terms: 6w + -3w = 3w -30 + 3w = w + 10 Reorder the terms: -30 + 3w = 10 + w Solving -30 + 3w = 10 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -30 + 3w + -1w = 10 + w + -1w Combine like terms: 3w + -1w = 2w -30 + 2w = 10 + w + -1w Combine like terms: w + -1w = 0 -30 + 2w = 10 + 0 -30 + 2w = 10 Add '30' to each side of the equation. -30 + 30 + 2w = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = 10 + 30 2w = 10 + 30 Combine like terms: 10 + 30 = 40 2w = 40 Divide each side by '2'. w = 20 Simplifying w = 20
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