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Simplifying 2.9w + 5 = 4.7(w + -2) Reorder the terms: 5 + 2.9w = 4.7(w + -2) Reorder the terms: 5 + 2.9w = 4.7(-2 + w) 5 + 2.9w = (-2 * 4.7 + w * 4.7) 5 + 2.9w = (-9.4 + 4.7w) Solving 5 + 2.9w = -9.4 + 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 = -9.4 + 4.7w + -4.7w Combine like terms: 2.9w + -4.7w = -1.8w 5 + -1.8w = -9.4 + 4.7w + -4.7w Combine like terms: 4.7w + -4.7w = 0.0 5 + -1.8w = -9.4 + 0.0 5 + -1.8w = -9.4 Add '-5' to each side of the equation. 5 + -5 + -1.8w = -9.4 + -5 Combine like terms: 5 + -5 = 0 0 + -1.8w = -9.4 + -5 -1.8w = -9.4 + -5 Combine like terms: -9.4 + -5 = -14.4 -1.8w = -14.4 Divide each side by '-1.8'. w = 8 Simplifying w = 8
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