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Simplifying -5w + 6 = -12w + 62 Reorder the terms: 6 + -5w = -12w + 62 Reorder the terms: 6 + -5w = 62 + -12w Solving 6 + -5w = 62 + -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. 6 + -5w + 12w = 62 + -12w + 12w Combine like terms: -5w + 12w = 7w 6 + 7w = 62 + -12w + 12w Combine like terms: -12w + 12w = 0 6 + 7w = 62 + 0 6 + 7w = 62 Add '-6' to each side of the equation. 6 + -6 + 7w = 62 + -6 Combine like terms: 6 + -6 = 0 0 + 7w = 62 + -6 7w = 62 + -6 Combine like terms: 62 + -6 = 56 7w = 56 Divide each side by '7'. w = 8 Simplifying w = 8
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