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Simplifying -7w + 2 = 5(w + -2) Reorder the terms: 2 + -7w = 5(w + -2) Reorder the terms: 2 + -7w = 5(-2 + w) 2 + -7w = (-2 * 5 + w * 5) 2 + -7w = (-10 + 5w) Solving 2 + -7w = -10 + 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. 2 + -7w + -5w = -10 + 5w + -5w Combine like terms: -7w + -5w = -12w 2 + -12w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -12w = -10 + 0 2 + -12w = -10 Add '-2' to each side of the equation. 2 + -2 + -12w = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -12w = -10 + -2 -12w = -10 + -2 Combine like terms: -10 + -2 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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