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Simplifying 3(w + -7) = 1 + 2w Reorder the terms: 3(-7 + w) = 1 + 2w (-7 * 3 + w * 3) = 1 + 2w (-21 + 3w) = 1 + 2w Solving -21 + 3w = 1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -21 + 3w + -2w = 1 + 2w + -2w Combine like terms: 3w + -2w = 1w -21 + 1w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 -21 + 1w = 1 + 0 -21 + 1w = 1 Add '21' to each side of the equation. -21 + 21 + 1w = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 1w = 1 + 21 1w = 1 + 21 Combine like terms: 1 + 21 = 22 1w = 22 Divide each side by '1'. w = 22 Simplifying w = 22
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