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Simplifying 5w + 1 = 7(2 + -3w) Reorder the terms: 1 + 5w = 7(2 + -3w) 1 + 5w = (2 * 7 + -3w * 7) 1 + 5w = (14 + -21w) Solving 1 + 5w = 14 + -21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21w' to each side of the equation. 1 + 5w + 21w = 14 + -21w + 21w Combine like terms: 5w + 21w = 26w 1 + 26w = 14 + -21w + 21w Combine like terms: -21w + 21w = 0 1 + 26w = 14 + 0 1 + 26w = 14 Add '-1' to each side of the equation. 1 + -1 + 26w = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 26w = 14 + -1 26w = 14 + -1 Combine like terms: 14 + -1 = 13 26w = 13 Divide each side by '26'. w = 0.5 Simplifying w = 0.5
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