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Simplifying 12(w + 7) + 3 = 8w + -4 Reorder the terms: 12(7 + w) + 3 = 8w + -4 (7 * 12 + w * 12) + 3 = 8w + -4 (84 + 12w) + 3 = 8w + -4 Reorder the terms: 84 + 3 + 12w = 8w + -4 Combine like terms: 84 + 3 = 87 87 + 12w = 8w + -4 Reorder the terms: 87 + 12w = -4 + 8w Solving 87 + 12w = -4 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 87 + 12w + -8w = -4 + 8w + -8w Combine like terms: 12w + -8w = 4w 87 + 4w = -4 + 8w + -8w Combine like terms: 8w + -8w = 0 87 + 4w = -4 + 0 87 + 4w = -4 Add '-87' to each side of the equation. 87 + -87 + 4w = -4 + -87 Combine like terms: 87 + -87 = 0 0 + 4w = -4 + -87 4w = -4 + -87 Combine like terms: -4 + -87 = -91 4w = -91 Divide each side by '4'. w = -22.75 Simplifying w = -22.75
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