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Simplifying -8w + 20 = 4(w + -7) Reorder the terms: 20 + -8w = 4(w + -7) Reorder the terms: 20 + -8w = 4(-7 + w) 20 + -8w = (-7 * 4 + w * 4) 20 + -8w = (-28 + 4w) Solving 20 + -8w = -28 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 20 + -8w + -4w = -28 + 4w + -4w Combine like terms: -8w + -4w = -12w 20 + -12w = -28 + 4w + -4w Combine like terms: 4w + -4w = 0 20 + -12w = -28 + 0 20 + -12w = -28 Add '-20' to each side of the equation. 20 + -20 + -12w = -28 + -20 Combine like terms: 20 + -20 = 0 0 + -12w = -28 + -20 -12w = -28 + -20 Combine like terms: -28 + -20 = -48 -12w = -48 Divide each side by '-12'. w = 4 Simplifying w = 4
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