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Simplifying 2(w + 9) = 6w + -10 Reorder the terms: 2(9 + w) = 6w + -10 (9 * 2 + w * 2) = 6w + -10 (18 + 2w) = 6w + -10 Reorder the terms: 18 + 2w = -10 + 6w Solving 18 + 2w = -10 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 18 + 2w + -6w = -10 + 6w + -6w Combine like terms: 2w + -6w = -4w 18 + -4w = -10 + 6w + -6w Combine like terms: 6w + -6w = 0 18 + -4w = -10 + 0 18 + -4w = -10 Add '-18' to each side of the equation. 18 + -18 + -4w = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -4w = -10 + -18 -4w = -10 + -18 Combine like terms: -10 + -18 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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