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Simplifying 7w + -16 = 5(w + -6) Reorder the terms: -16 + 7w = 5(w + -6) Reorder the terms: -16 + 7w = 5(-6 + w) -16 + 7w = (-6 * 5 + w * 5) -16 + 7w = (-30 + 5w) Solving -16 + 7w = -30 + 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. -16 + 7w + -5w = -30 + 5w + -5w Combine like terms: 7w + -5w = 2w -16 + 2w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 -16 + 2w = -30 + 0 -16 + 2w = -30 Add '16' to each side of the equation. -16 + 16 + 2w = -30 + 16 Combine like terms: -16 + 16 = 0 0 + 2w = -30 + 16 2w = -30 + 16 Combine like terms: -30 + 16 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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