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