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Simplifying 4(2w + 5) = 7(2w + -4) Reorder the terms: 4(5 + 2w) = 7(2w + -4) (5 * 4 + 2w * 4) = 7(2w + -4) (20 + 8w) = 7(2w + -4) Reorder the terms: 20 + 8w = 7(-4 + 2w) 20 + 8w = (-4 * 7 + 2w * 7) 20 + 8w = (-28 + 14w) Solving 20 + 8w = -28 + 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. 20 + 8w + -14w = -28 + 14w + -14w Combine like terms: 8w + -14w = -6w 20 + -6w = -28 + 14w + -14w Combine like terms: 14w + -14w = 0 20 + -6w = -28 + 0 20 + -6w = -28 Add '-20' to each side of the equation. 20 + -20 + -6w = -28 + -20 Combine like terms: 20 + -20 = 0 0 + -6w = -28 + -20 -6w = -28 + -20 Combine like terms: -28 + -20 = -48 -6w = -48 Divide each side by '-6'. w = 8 Simplifying w = 8
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