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Simplifying -7(3 + w) = 5w + 39 (3 * -7 + w * -7) = 5w + 39 (-21 + -7w) = 5w + 39 Reorder the terms: -21 + -7w = 39 + 5w Solving -21 + -7w = 39 + 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 = 39 + 5w + -5w Combine like terms: -7w + -5w = -12w -21 + -12w = 39 + 5w + -5w Combine like terms: 5w + -5w = 0 -21 + -12w = 39 + 0 -21 + -12w = 39 Add '21' to each side of the equation. -21 + 21 + -12w = 39 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = 39 + 21 -12w = 39 + 21 Combine like terms: 39 + 21 = 60 -12w = 60 Divide each side by '-12'. w = -5 Simplifying w = -5
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