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Simplifying -2.9w + 5 = 4.7w + -7.6 Reorder the terms: 5 + -2.9w = 4.7w + -7.6 Reorder the terms: 5 + -2.9w = -7.6 + 4.7w Solving 5 + -2.9w = -7.6 + 4.7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.7w' to each side of the equation. 5 + -2.9w + -4.7w = -7.6 + 4.7w + -4.7w Combine like terms: -2.9w + -4.7w = -7.6w 5 + -7.6w = -7.6 + 4.7w + -4.7w Combine like terms: 4.7w + -4.7w = 0.0 5 + -7.6w = -7.6 + 0.0 5 + -7.6w = -7.6 Add '-5' to each side of the equation. 5 + -5 + -7.6w = -7.6 + -5 Combine like terms: 5 + -5 = 0 0 + -7.6w = -7.6 + -5 -7.6w = -7.6 + -5 Combine like terms: -7.6 + -5 = -12.6 -7.6w = -12.6 Divide each side by '-7.6'. w = 1.657894737 Simplifying w = 1.657894737
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