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Simplifying 2w + -12 = 5w + -63 Reorder the terms: -12 + 2w = 5w + -63 Reorder the terms: -12 + 2w = -63 + 5w Solving -12 + 2w = -63 + 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. -12 + 2w + -5w = -63 + 5w + -5w Combine like terms: 2w + -5w = -3w -12 + -3w = -63 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + -3w = -63 + 0 -12 + -3w = -63 Add '12' to each side of the equation. -12 + 12 + -3w = -63 + 12 Combine like terms: -12 + 12 = 0 0 + -3w = -63 + 12 -3w = -63 + 12 Combine like terms: -63 + 12 = -51 -3w = -51 Divide each side by '-3'. w = 17 Simplifying w = 17
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