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Simplifying 2.9w + 5 = 47w + -7.6 Reorder the terms: 5 + 2.9w = 47w + -7.6 Reorder the terms: 5 + 2.9w = -7.6 + 47w Solving 5 + 2.9w = -7.6 + 47w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-47w' to each side of the equation. 5 + 2.9w + -47w = -7.6 + 47w + -47w Combine like terms: 2.9w + -47w = -44.1w 5 + -44.1w = -7.6 + 47w + -47w Combine like terms: 47w + -47w = 0 5 + -44.1w = -7.6 + 0 5 + -44.1w = -7.6 Add '-5' to each side of the equation. 5 + -5 + -44.1w = -7.6 + -5 Combine like terms: 5 + -5 = 0 0 + -44.1w = -7.6 + -5 -44.1w = -7.6 + -5 Combine like terms: -7.6 + -5 = -12.6 -44.1w = -12.6 Divide each side by '-44.1'. w = 0.2857142857 Simplifying w = 0.2857142857
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