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Simplifying 5w + -45 = -12w + 20 Reorder the terms: -45 + 5w = -12w + 20 Reorder the terms: -45 + 5w = 20 + -12w Solving -45 + 5w = 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. -45 + 5w + 12w = 20 + -12w + 12w Combine like terms: 5w + 12w = 17w -45 + 17w = 20 + -12w + 12w Combine like terms: -12w + 12w = 0 -45 + 17w = 20 + 0 -45 + 17w = 20 Add '45' to each side of the equation. -45 + 45 + 17w = 20 + 45 Combine like terms: -45 + 45 = 0 0 + 17w = 20 + 45 17w = 20 + 45 Combine like terms: 20 + 45 = 65 17w = 65 Divide each side by '17'. w = 3.823529412 Simplifying w = 3.823529412
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