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Simplifying -5(w + -21) = -3w + 18 Reorder the terms: -5(-21 + w) = -3w + 18 (-21 * -5 + w * -5) = -3w + 18 (105 + -5w) = -3w + 18 Reorder the terms: 105 + -5w = 18 + -3w Solving 105 + -5w = 18 + -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. 105 + -5w + 3w = 18 + -3w + 3w Combine like terms: -5w + 3w = -2w 105 + -2w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 105 + -2w = 18 + 0 105 + -2w = 18 Add '-105' to each side of the equation. 105 + -105 + -2w = 18 + -105 Combine like terms: 105 + -105 = 0 0 + -2w = 18 + -105 -2w = 18 + -105 Combine like terms: 18 + -105 = -87 -2w = -87 Divide each side by '-2'. w = 43.5 Simplifying w = 43.5
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