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Simplifying -3w + 16 = 2(w + -7) Reorder the terms: 16 + -3w = 2(w + -7) Reorder the terms: 16 + -3w = 2(-7 + w) 16 + -3w = (-7 * 2 + w * 2) 16 + -3w = (-14 + 2w) Solving 16 + -3w = -14 + 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. 16 + -3w + -2w = -14 + 2w + -2w Combine like terms: -3w + -2w = -5w 16 + -5w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + -5w = -14 + 0 16 + -5w = -14 Add '-16' to each side of the equation. 16 + -16 + -5w = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -5w = -14 + -16 -5w = -14 + -16 Combine like terms: -14 + -16 = -30 -5w = -30 Divide each side by '-5'. w = 6 Simplifying w = 6
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