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