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Simplifying w + 20 = 7w + -4 Reorder the terms: 20 + w = 7w + -4 Reorder the terms: 20 + w = -4 + 7w Solving 20 + w = -4 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 20 + w + -7w = -4 + 7w + -7w Combine like terms: w + -7w = -6w 20 + -6w = -4 + 7w + -7w Combine like terms: 7w + -7w = 0 20 + -6w = -4 + 0 20 + -6w = -4 Add '-20' to each side of the equation. 20 + -20 + -6w = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6w = -4 + -20 -6w = -4 + -20 Combine like terms: -4 + -20 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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