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Simplifying -12w + 40 = -5w + -5 Reorder the terms: 40 + -12w = -5w + -5 Reorder the terms: 40 + -12w = -5 + -5w Solving 40 + -12w = -5 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 40 + -12w + 5w = -5 + -5w + 5w Combine like terms: -12w + 5w = -7w 40 + -7w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 40 + -7w = -5 + 0 40 + -7w = -5 Add '-40' to each side of the equation. 40 + -40 + -7w = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -7w = -5 + -40 -7w = -5 + -40 Combine like terms: -5 + -40 = -45 -7w = -45 Divide each side by '-7'. w = 6.428571429 Simplifying w = 6.428571429
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