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Simplifying 4w + -1x + 20 = w + 21 Reorder the terms: 20 + 4w + -1x = w + 21 Reorder the terms: 20 + 4w + -1x = 21 + w Solving 20 + 4w + -1x = 21 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 20 + 4w + -1w + -1x = 21 + w + -1w Combine like terms: 4w + -1w = 3w 20 + 3w + -1x = 21 + w + -1w Combine like terms: w + -1w = 0 20 + 3w + -1x = 21 + 0 20 + 3w + -1x = 21 Add '-20' to each side of the equation. 20 + 3w + -20 + -1x = 21 + -20 Reorder the terms: 20 + -20 + 3w + -1x = 21 + -20 Combine like terms: 20 + -20 = 0 0 + 3w + -1x = 21 + -20 3w + -1x = 21 + -20 Combine like terms: 21 + -20 = 1 3w + -1x = 1 Add 'x' to each side of the equation. 3w + -1x + x = 1 + x Combine like terms: -1x + x = 0 3w + 0 = 1 + x 3w = 1 + x Divide each side by '3'. w = 0.3333333333 + 0.3333333333x Simplifying w = 0.3333333333 + 0.3333333333x
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