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Simplifying 2(5w + -12) = 6(-2w + 3) + 2 Reorder the terms: 2(-12 + 5w) = 6(-2w + 3) + 2 (-12 * 2 + 5w * 2) = 6(-2w + 3) + 2 (-24 + 10w) = 6(-2w + 3) + 2 Reorder the terms: -24 + 10w = 6(3 + -2w) + 2 -24 + 10w = (3 * 6 + -2w * 6) + 2 -24 + 10w = (18 + -12w) + 2 Reorder the terms: -24 + 10w = 18 + 2 + -12w Combine like terms: 18 + 2 = 20 -24 + 10w = 20 + -12w Solving -24 + 10w = 20 + -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. -24 + 10w + 12w = 20 + -12w + 12w Combine like terms: 10w + 12w = 22w -24 + 22w = 20 + -12w + 12w Combine like terms: -12w + 12w = 0 -24 + 22w = 20 + 0 -24 + 22w = 20 Add '24' to each side of the equation. -24 + 24 + 22w = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 22w = 20 + 24 22w = 20 + 24 Combine like terms: 20 + 24 = 44 22w = 44 Divide each side by '22'. w = 2 Simplifying w = 2
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