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Simplifying 4(w + 14) = 3(4w + 6) Reorder the terms: 4(14 + w) = 3(4w + 6) (14 * 4 + w * 4) = 3(4w + 6) (56 + 4w) = 3(4w + 6) Reorder the terms: 56 + 4w = 3(6 + 4w) 56 + 4w = (6 * 3 + 4w * 3) 56 + 4w = (18 + 12w) Solving 56 + 4w = 18 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 56 + 4w + -12w = 18 + 12w + -12w Combine like terms: 4w + -12w = -8w 56 + -8w = 18 + 12w + -12w Combine like terms: 12w + -12w = 0 56 + -8w = 18 + 0 56 + -8w = 18 Add '-56' to each side of the equation. 56 + -56 + -8w = 18 + -56 Combine like terms: 56 + -56 = 0 0 + -8w = 18 + -56 -8w = 18 + -56 Combine like terms: 18 + -56 = -38 -8w = -38 Divide each side by '-8'. w = 4.75 Simplifying w = 4.75
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