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Simplifying 90 + -12w = 20w + -150 Reorder the terms: 90 + -12w = -150 + 20w Solving 90 + -12w = -150 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 90 + -12w + -20w = -150 + 20w + -20w Combine like terms: -12w + -20w = -32w 90 + -32w = -150 + 20w + -20w Combine like terms: 20w + -20w = 0 90 + -32w = -150 + 0 90 + -32w = -150 Add '-90' to each side of the equation. 90 + -90 + -32w = -150 + -90 Combine like terms: 90 + -90 = 0 0 + -32w = -150 + -90 -32w = -150 + -90 Combine like terms: -150 + -90 = -240 -32w = -240 Divide each side by '-32'. w = 7.5 Simplifying w = 7.5
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