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Simplifying 20 = 4(w + -7) + 2w Reorder the terms: 20 = 4(-7 + w) + 2w 20 = (-7 * 4 + w * 4) + 2w 20 = (-28 + 4w) + 2w Combine like terms: 4w + 2w = 6w 20 = -28 + 6w Solving 20 = -28 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 20 + -6w = -28 + 6w + -6w Combine like terms: 6w + -6w = 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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