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Simplifying 24w + 42 = 20w + 62 Reorder the terms: 42 + 24w = 20w + 62 Reorder the terms: 42 + 24w = 62 + 20w Solving 42 + 24w = 62 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 42 + 24w + -20w = 62 + 20w + -20w Combine like terms: 24w + -20w = 4w 42 + 4w = 62 + 20w + -20w Combine like terms: 20w + -20w = 0 42 + 4w = 62 + 0 42 + 4w = 62 Add '-42' to each side of the equation. 42 + -42 + 4w = 62 + -42 Combine like terms: 42 + -42 = 0 0 + 4w = 62 + -42 4w = 62 + -42 Combine like terms: 62 + -42 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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