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Simplifying 4(3w + -2) = (2w + 3) Reorder the terms: 4(-2 + 3w) = (2w + 3) (-2 * 4 + 3w * 4) = (2w + 3) (-8 + 12w) = (2w + 3) Reorder the terms: -8 + 12w = (3 + 2w) Remove parenthesis around (3 + 2w) -8 + 12w = 3 + 2w Solving -8 + 12w = 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. -8 + 12w + -2w = 3 + 2w + -2w Combine like terms: 12w + -2w = 10w -8 + 10w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 10w = 3 + 0 -8 + 10w = 3 Add '8' to each side of the equation. -8 + 8 + 10w = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = 3 + 8 10w = 3 + 8 Combine like terms: 3 + 8 = 11 10w = 11 Divide each side by '10'. w = 1.1 Simplifying w = 1.1
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