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Simplifying 5w + 4 + -12w + 49 = 4 Reorder the terms: 4 + 49 + 5w + -12w = 4 Combine like terms: 4 + 49 = 53 53 + 5w + -12w = 4 Combine like terms: 5w + -12w = -7w 53 + -7w = 4 Solving 53 + -7w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -7w = 4 + -53 Combine like terms: 53 + -53 = 0 0 + -7w = 4 + -53 -7w = 4 + -53 Combine like terms: 4 + -53 = -49 -7w = -49 Divide each side by '-7'. w = 7 Simplifying w = 7
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