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Simplifying 4 + 2(w + -3) = 3w + -2(w + -5) Reorder the terms: 4 + 2(-3 + w) = 3w + -2(w + -5) 4 + (-3 * 2 + w * 2) = 3w + -2(w + -5) 4 + (-6 + 2w) = 3w + -2(w + -5) Combine like terms: 4 + -6 = -2 -2 + 2w = 3w + -2(w + -5) Reorder the terms: -2 + 2w = 3w + -2(-5 + w) -2 + 2w = 3w + (-5 * -2 + w * -2) -2 + 2w = 3w + (10 + -2w) Reorder the terms: -2 + 2w = 10 + 3w + -2w Combine like terms: 3w + -2w = 1w -2 + 2w = 10 + 1w Solving -2 + 2w = 10 + 1w 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. -2 + 2w + -1w = 10 + 1w + -1w Combine like terms: 2w + -1w = 1w -2 + 1w = 10 + 1w + -1w Combine like terms: 1w + -1w = 0 -2 + 1w = 10 + 0 -2 + 1w = 10 Add '2' to each side of the equation. -2 + 2 + 1w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = 10 + 2 1w = 10 + 2 Combine like terms: 10 + 2 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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