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Simplifying 4w + 3 = 29(w + 5) Reorder the terms: 3 + 4w = 29(w + 5) Reorder the terms: 3 + 4w = 29(5 + w) 3 + 4w = (5 * 29 + w * 29) 3 + 4w = (145 + 29w) Solving 3 + 4w = 145 + 29w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29w' to each side of the equation. 3 + 4w + -29w = 145 + 29w + -29w Combine like terms: 4w + -29w = -25w 3 + -25w = 145 + 29w + -29w Combine like terms: 29w + -29w = 0 3 + -25w = 145 + 0 3 + -25w = 145 Add '-3' to each side of the equation. 3 + -3 + -25w = 145 + -3 Combine like terms: 3 + -3 = 0 0 + -25w = 145 + -3 -25w = 145 + -3 Combine like terms: 145 + -3 = 142 -25w = 142 Divide each side by '-25'. w = -5.68 Simplifying w = -5.68
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