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Simplifying -2(w + -8) = 7w + -47 Reorder the terms: -2(-8 + w) = 7w + -47 (-8 * -2 + w * -2) = 7w + -47 (16 + -2w) = 7w + -47 Reorder the terms: 16 + -2w = -47 + 7w Solving 16 + -2w = -47 + 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. 16 + -2w + -7w = -47 + 7w + -7w Combine like terms: -2w + -7w = -9w 16 + -9w = -47 + 7w + -7w Combine like terms: 7w + -7w = 0 16 + -9w = -47 + 0 16 + -9w = -47 Add '-16' to each side of the equation. 16 + -16 + -9w = -47 + -16 Combine like terms: 16 + -16 = 0 0 + -9w = -47 + -16 -9w = -47 + -16 Combine like terms: -47 + -16 = -63 -9w = -63 Divide each side by '-9'. w = 7 Simplifying w = 7
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