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Simplifying 2w + 2 = 5w + -16 Reorder the terms: 2 + 2w = 5w + -16 Reorder the terms: 2 + 2w = -16 + 5w Solving 2 + 2w = -16 + 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 + 2w + -5w = -16 + 5w + -5w Combine like terms: 2w + -5w = -3w 2 + -3w = -16 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -3w = -16 + 0 2 + -3w = -16 Add '-2' to each side of the equation. 2 + -2 + -3w = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = -16 + -2 -3w = -16 + -2 Combine like terms: -16 + -2 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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