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Simplifying 7w + 4 = 2(7w + -5) Reorder the terms: 4 + 7w = 2(7w + -5) Reorder the terms: 4 + 7w = 2(-5 + 7w) 4 + 7w = (-5 * 2 + 7w * 2) 4 + 7w = (-10 + 14w) Solving 4 + 7w = -10 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 4 + 7w + -14w = -10 + 14w + -14w Combine like terms: 7w + -14w = -7w 4 + -7w = -10 + 14w + -14w Combine like terms: 14w + -14w = 0 4 + -7w = -10 + 0 4 + -7w = -10 Add '-4' to each side of the equation. 4 + -4 + -7w = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7w = -10 + -4 -7w = -10 + -4 Combine like terms: -10 + -4 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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