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Simplifying -7 = -5w + 2(w + -8) Reorder the terms: -7 = -5w + 2(-8 + w) -7 = -5w + (-8 * 2 + w * 2) -7 = -5w + (-16 + 2w) Reorder the terms: -7 = -16 + -5w + 2w Combine like terms: -5w + 2w = -3w -7 = -16 + -3w Solving -7 = -16 + -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. -7 + 3w = -16 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 3w = -16 + 0 -7 + 3w = -16 Add '7' to each side of the equation. -7 + 7 + 3w = -16 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = -16 + 7 3w = -16 + 7 Combine like terms: -16 + 7 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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