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Simplifying -5w + 21 = -3(w + -1) Reorder the terms: 21 + -5w = -3(w + -1) Reorder the terms: 21 + -5w = -3(-1 + w) 21 + -5w = (-1 * -3 + w * -3) 21 + -5w = (3 + -3w) Solving 21 + -5w = 3 + -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. 21 + -5w + 3w = 3 + -3w + 3w Combine like terms: -5w + 3w = -2w 21 + -2w = 3 + -3w + 3w Combine like terms: -3w + 3w = 0 21 + -2w = 3 + 0 21 + -2w = 3 Add '-21' to each side of the equation. 21 + -21 + -2w = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -2w = 3 + -21 -2w = 3 + -21 Combine like terms: 3 + -21 = -18 -2w = -18 Divide each side by '-2'. w = 9 Simplifying w = 9
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