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Simplifying -7(2w + -3) + 7w = 3(w + 2) Reorder the terms: -7(-3 + 2w) + 7w = 3(w + 2) (-3 * -7 + 2w * -7) + 7w = 3(w + 2) (21 + -14w) + 7w = 3(w + 2) Combine like terms: -14w + 7w = -7w 21 + -7w = 3(w + 2) Reorder the terms: 21 + -7w = 3(2 + w) 21 + -7w = (2 * 3 + w * 3) 21 + -7w = (6 + 3w) Solving 21 + -7w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 21 + -7w + -3w = 6 + 3w + -3w Combine like terms: -7w + -3w = -10w 21 + -10w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + -10w = 6 + 0 21 + -10w = 6 Add '-21' to each side of the equation. 21 + -21 + -10w = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -10w = 6 + -21 -10w = 6 + -21 Combine like terms: 6 + -21 = -15 -10w = -15 Divide each side by '-10'. w = 1.5 Simplifying w = 1.5
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