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Simplifying 4w + -29 = 7w + 20 Reorder the terms: -29 + 4w = 7w + 20 Reorder the terms: -29 + 4w = 20 + 7w Solving -29 + 4w = 20 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -29 + 4w + -7w = 20 + 7w + -7w Combine like terms: 4w + -7w = -3w -29 + -3w = 20 + 7w + -7w Combine like terms: 7w + -7w = 0 -29 + -3w = 20 + 0 -29 + -3w = 20 Add '29' to each side of the equation. -29 + 29 + -3w = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -3w = 20 + 29 -3w = 20 + 29 Combine like terms: 20 + 29 = 49 -3w = 49 Divide each side by '-3'. w = -16.33333333 Simplifying w = -16.33333333
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