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Simplifying 2(-19 + -11w) = 3(-12w + 6) (-19 * 2 + -11w * 2) = 3(-12w + 6) (-38 + -22w) = 3(-12w + 6) Reorder the terms: -38 + -22w = 3(6 + -12w) -38 + -22w = (6 * 3 + -12w * 3) -38 + -22w = (18 + -36w) Solving -38 + -22w = 18 + -36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36w' to each side of the equation. -38 + -22w + 36w = 18 + -36w + 36w Combine like terms: -22w + 36w = 14w -38 + 14w = 18 + -36w + 36w Combine like terms: -36w + 36w = 0 -38 + 14w = 18 + 0 -38 + 14w = 18 Add '38' to each side of the equation. -38 + 38 + 14w = 18 + 38 Combine like terms: -38 + 38 = 0 0 + 14w = 18 + 38 14w = 18 + 38 Combine like terms: 18 + 38 = 56 14w = 56 Divide each side by '14'. w = 4 Simplifying w = 4
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