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Simplifying 3(2w + -5) = 4w + -2w + 15 Reorder the terms: 3(-5 + 2w) = 4w + -2w + 15 (-5 * 3 + 2w * 3) = 4w + -2w + 15 (-15 + 6w) = 4w + -2w + 15 Reorder the terms: -15 + 6w = 15 + 4w + -2w Combine like terms: 4w + -2w = 2w -15 + 6w = 15 + 2w Solving -15 + 6w = 15 + 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. -15 + 6w + -2w = 15 + 2w + -2w Combine like terms: 6w + -2w = 4w -15 + 4w = 15 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 4w = 15 + 0 -15 + 4w = 15 Add '15' to each side of the equation. -15 + 15 + 4w = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 4w = 15 + 15 4w = 15 + 15 Combine like terms: 15 + 15 = 30 4w = 30 Divide each side by '4'. w = 7.5 Simplifying w = 7.5
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