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