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Simplifying 3w + 7 = 2(4 + 5w) Reorder the terms: 7 + 3w = 2(4 + 5w) 7 + 3w = (4 * 2 + 5w * 2) 7 + 3w = (8 + 10w) Solving 7 + 3w = 8 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 7 + 3w + -10w = 8 + 10w + -10w Combine like terms: 3w + -10w = -7w 7 + -7w = 8 + 10w + -10w Combine like terms: 10w + -10w = 0 7 + -7w = 8 + 0 7 + -7w = 8 Add '-7' to each side of the equation. 7 + -7 + -7w = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -7w = 8 + -7 -7w = 8 + -7 Combine like terms: 8 + -7 = 1 -7w = 1 Divide each side by '-7'. w = -0.1428571429 Simplifying w = -0.1428571429
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