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Simplifying 3w + 19 = 5(w + 1) Reorder the terms: 19 + 3w = 5(w + 1) Reorder the terms: 19 + 3w = 5(1 + w) 19 + 3w = (1 * 5 + w * 5) 19 + 3w = (5 + 5w) Solving 19 + 3w = 5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 19 + 3w + -5w = 5 + 5w + -5w Combine like terms: 3w + -5w = -2w 19 + -2w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 19 + -2w = 5 + 0 19 + -2w = 5 Add '-19' to each side of the equation. 19 + -19 + -2w = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -2w = 5 + -19 -2w = 5 + -19 Combine like terms: 5 + -19 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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