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Simplifying 5w + 2.7 = 12w Reorder the terms: 2.7 + 5w = 12w Solving 2.7 + 5w = 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. 2.7 + 5w + -12w = 12w + -12w Combine like terms: 5w + -12w = -7w 2.7 + -7w = 12w + -12w Combine like terms: 12w + -12w = 0 2.7 + -7w = 0 Add '-2.7' to each side of the equation. 2.7 + -2.7 + -7w = 0 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -7w = 0 + -2.7 -7w = 0 + -2.7 Combine like terms: 0 + -2.7 = -2.7 -7w = -2.7 Divide each side by '-7'. w = 0.3857142857 Simplifying w = 0.3857142857
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