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Simplifying 7w + -5 = -6 + 2(w + -7) Reorder the terms: -5 + 7w = -6 + 2(w + -7) Reorder the terms: -5 + 7w = -6 + 2(-7 + w) -5 + 7w = -6 + (-7 * 2 + w * 2) -5 + 7w = -6 + (-14 + 2w) Combine like terms: -6 + -14 = -20 -5 + 7w = -20 + 2w Solving -5 + 7w = -20 + 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. -5 + 7w + -2w = -20 + 2w + -2w Combine like terms: 7w + -2w = 5w -5 + 5w = -20 + 2w + -2w Combine like terms: 2w + -2w = 0 -5 + 5w = -20 + 0 -5 + 5w = -20 Add '5' to each side of the equation. -5 + 5 + 5w = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = -20 + 5 5w = -20 + 5 Combine like terms: -20 + 5 = -15 5w = -15 Divide each side by '5'. w = -3 Simplifying w = -3
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