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Simplifying 36 = 2(3w) + 2(2w + 3) Remove parenthesis around (3w) 36 = 2 * 3w + 2(2w + 3) Multiply 2 * 3 36 = 6w + 2(2w + 3) Reorder the terms: 36 = 6w + 2(3 + 2w) 36 = 6w + (3 * 2 + 2w * 2) 36 = 6w + (6 + 4w) Reorder the terms: 36 = 6 + 6w + 4w Combine like terms: 6w + 4w = 10w 36 = 6 + 10w Solving 36 = 6 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 36 + -10w = 6 + 10w + -10w Combine like terms: 10w + -10w = 0 36 + -10w = 6 + 0 36 + -10w = 6 Add '-36' to each side of the equation. 36 + -36 + -10w = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -10w = 6 + -36 -10w = 6 + -36 Combine like terms: 6 + -36 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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