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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 = -17w 6 + -17w = 62 + 12w + -12w Combine like terms: 12w + -12w = 0 6 + -17w = 62 + 0 6 + -17w = 62 Add '-6' to each side of the equation. 6 + -6 + -17w = 62 + -6 Combine like terms: 6 + -6 = 0 0 + -17w = 62 + -6 -17w = 62 + -6 Combine like terms: 62 + -6 = 56 -17w = 56 Divide each side by '-17'. w = -3.294117647 Simplifying w = -3.294117647
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