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Simplifying -13 = 3(w + -7) + -5w Reorder the terms: -13 = 3(-7 + w) + -5w -13 = (-7 * 3 + w * 3) + -5w -13 = (-21 + 3w) + -5w Combine like terms: 3w + -5w = -2w -13 = -21 + -2w Solving -13 = -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. -13 + 2w = -21 + -2w + 2w Combine like terms: -2w + 2w = 0 -13 + 2w = -21 + 0 -13 + 2w = -21 Add '13' to each side of the equation. -13 + 13 + 2w = -21 + 13 Combine like terms: -13 + 13 = 0 0 + 2w = -21 + 13 2w = -21 + 13 Combine like terms: -21 + 13 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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