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Simplifying 12w + 33 = -6w + -100 Reorder the terms: 33 + 12w = -6w + -100 Reorder the terms: 33 + 12w = -100 + -6w Solving 33 + 12w = -100 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 33 + 12w + 6w = -100 + -6w + 6w Combine like terms: 12w + 6w = 18w 33 + 18w = -100 + -6w + 6w Combine like terms: -6w + 6w = 0 33 + 18w = -100 + 0 33 + 18w = -100 Add '-33' to each side of the equation. 33 + -33 + 18w = -100 + -33 Combine like terms: 33 + -33 = 0 0 + 18w = -100 + -33 18w = -100 + -33 Combine like terms: -100 + -33 = -133 18w = -133 Divide each side by '18'. w = -7.388888889 Simplifying w = -7.388888889
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