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Simplifying 2w + -7w + -28 = 7w + -14 Reorder the terms: -28 + 2w + -7w = 7w + -14 Combine like terms: 2w + -7w = -5w -28 + -5w = 7w + -14 Reorder the terms: -28 + -5w = -14 + 7w Solving -28 + -5w = -14 + 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. -28 + -5w + -7w = -14 + 7w + -7w Combine like terms: -5w + -7w = -12w -28 + -12w = -14 + 7w + -7w Combine like terms: 7w + -7w = 0 -28 + -12w = -14 + 0 -28 + -12w = -14 Add '28' to each side of the equation. -28 + 28 + -12w = -14 + 28 Combine like terms: -28 + 28 = 0 0 + -12w = -14 + 28 -12w = -14 + 28 Combine like terms: -14 + 28 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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