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Simplifying 3(w + -2) + 4 = 2w + 5 Reorder the terms: 3(-2 + w) + 4 = 2w + 5 (-2 * 3 + w * 3) + 4 = 2w + 5 (-6 + 3w) + 4 = 2w + 5 Reorder the terms: -6 + 4 + 3w = 2w + 5 Combine like terms: -6 + 4 = -2 -2 + 3w = 2w + 5 Reorder the terms: -2 + 3w = 5 + 2w Solving -2 + 3w = 5 + 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. -2 + 3w + -2w = 5 + 2w + -2w Combine like terms: 3w + -2w = 1w -2 + 1w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + 1w = 5 + 0 -2 + 1w = 5 Add '2' to each side of the equation. -2 + 2 + 1w = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1w = 5 + 2 1w = 5 + 2 Combine like terms: 5 + 2 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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