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Simplifying -16 = 7(w + -2) + -5w Reorder the terms: -16 = 7(-2 + w) + -5w -16 = (-2 * 7 + w * 7) + -5w -16 = (-14 + 7w) + -5w Combine like terms: 7w + -5w = 2w -16 = -14 + 2w Solving -16 = -14 + 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. -16 + -2w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -16 + -2w = -14 + 0 -16 + -2w = -14 Add '16' to each side of the equation. -16 + 16 + -2w = -14 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -14 + 16 -2w = -14 + 16 Combine like terms: -14 + 16 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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