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Simplifying 4(3w + 3) + 2w = 7(w + 7) + -16 Reorder the terms: 4(3 + 3w) + 2w = 7(w + 7) + -16 (3 * 4 + 3w * 4) + 2w = 7(w + 7) + -16 (12 + 12w) + 2w = 7(w + 7) + -16 Combine like terms: 12w + 2w = 14w 12 + 14w = 7(w + 7) + -16 Reorder the terms: 12 + 14w = 7(7 + w) + -16 12 + 14w = (7 * 7 + w * 7) + -16 12 + 14w = (49 + 7w) + -16 Reorder the terms: 12 + 14w = 49 + -16 + 7w Combine like terms: 49 + -16 = 33 12 + 14w = 33 + 7w Solving 12 + 14w = 33 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 12 + 14w + -7w = 33 + 7w + -7w Combine like terms: 14w + -7w = 7w 12 + 7w = 33 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + 7w = 33 + 0 12 + 7w = 33 Add '-12' to each side of the equation. 12 + -12 + 7w = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 7w = 33 + -12 7w = 33 + -12 Combine like terms: 33 + -12 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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