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Simplifying 3(w + -4) + w = 2w + 3 Reorder the terms: 3(-4 + w) + w = 2w + 3 (-4 * 3 + w * 3) + w = 2w + 3 (-12 + 3w) + w = 2w + 3 Combine like terms: 3w + w = 4w -12 + 4w = 2w + 3 Reorder the terms: -12 + 4w = 3 + 2w Solving -12 + 4w = 3 + 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. -12 + 4w + -2w = 3 + 2w + -2w Combine like terms: 4w + -2w = 2w -12 + 2w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + 2w = 3 + 0 -12 + 2w = 3 Add '12' to each side of the equation. -12 + 12 + 2w = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = 3 + 12 2w = 3 + 12 Combine like terms: 3 + 12 = 15 2w = 15 Divide each side by '2'. w = 7.5 Simplifying w = 7.5
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