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Simplifying 3 + -7 + 12w = 10(w + 3) + 2 Combine like terms: 3 + -7 = -4 -4 + 12w = 10(w + 3) + 2 Reorder the terms: -4 + 12w = 10(3 + w) + 2 -4 + 12w = (3 * 10 + w * 10) + 2 -4 + 12w = (30 + 10w) + 2 Reorder the terms: -4 + 12w = 30 + 2 + 10w Combine like terms: 30 + 2 = 32 -4 + 12w = 32 + 10w Solving -4 + 12w = 32 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -4 + 12w + -10w = 32 + 10w + -10w Combine like terms: 12w + -10w = 2w -4 + 2w = 32 + 10w + -10w Combine like terms: 10w + -10w = 0 -4 + 2w = 32 + 0 -4 + 2w = 32 Add '4' to each side of the equation. -4 + 4 + 2w = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = 32 + 4 2w = 32 + 4 Combine like terms: 32 + 4 = 36 2w = 36 Divide each side by '2'. w = 18 Simplifying w = 18
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