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Simplifying 4(3w + 4) + 2w = 6(w + 6) + -4 Reorder the terms: 4(4 + 3w) + 2w = 6(w + 6) + -4 (4 * 4 + 3w * 4) + 2w = 6(w + 6) + -4 (16 + 12w) + 2w = 6(w + 6) + -4 Combine like terms: 12w + 2w = 14w 16 + 14w = 6(w + 6) + -4 Reorder the terms: 16 + 14w = 6(6 + w) + -4 16 + 14w = (6 * 6 + w * 6) + -4 16 + 14w = (36 + 6w) + -4 Reorder the terms: 16 + 14w = 36 + -4 + 6w Combine like terms: 36 + -4 = 32 16 + 14w = 32 + 6w Solving 16 + 14w = 32 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 16 + 14w + -6w = 32 + 6w + -6w Combine like terms: 14w + -6w = 8w 16 + 8w = 32 + 6w + -6w Combine like terms: 6w + -6w = 0 16 + 8w = 32 + 0 16 + 8w = 32 Add '-16' to each side of the equation. 16 + -16 + 8w = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 8w = 32 + -16 8w = 32 + -16 Combine like terms: 32 + -16 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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