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Simplifying 2 = 2(w + -6) + 5w Reorder the terms: 2 = 2(-6 + w) + 5w 2 = (-6 * 2 + w * 2) + 5w 2 = (-12 + 2w) + 5w Combine like terms: 2w + 5w = 7w 2 = -12 + 7w Solving 2 = -12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 2 + -7w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + -7w = -12 + 0 2 + -7w = -12 Add '-2' to each side of the equation. 2 + -2 + -7w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7w = -12 + -2 -7w = -12 + -2 Combine like terms: -12 + -2 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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