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Simplifying 29w + 5 = 4.7w + -7.6 Reorder the terms: 5 + 29w = 4.7w + -7.6 Reorder the terms: 5 + 29w = -7.6 + 4.7w Solving 5 + 29w = -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 + 29w + -4.7w = -7.6 + 4.7w + -4.7w Combine like terms: 29w + -4.7w = 24.3w 5 + 24.3w = -7.6 + 4.7w + -4.7w Combine like terms: 4.7w + -4.7w = 0.0 5 + 24.3w = -7.6 + 0.0 5 + 24.3w = -7.6 Add '-5' to each side of the equation. 5 + -5 + 24.3w = -7.6 + -5 Combine like terms: 5 + -5 = 0 0 + 24.3w = -7.6 + -5 24.3w = -7.6 + -5 Combine like terms: -7.6 + -5 = -12.6 24.3w = -12.6 Divide each side by '24.3'. w = -0.5185185185 Simplifying w = -0.5185185185
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