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