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Simplifying 12 + -5(2w + -13) = (2w + -5) Reorder the terms: 12 + -5(-13 + 2w) = (2w + -5) 12 + (-13 * -5 + 2w * -5) = (2w + -5) 12 + (65 + -10w) = (2w + -5) Combine like terms: 12 + 65 = 77 77 + -10w = (2w + -5) Reorder the terms: 77 + -10w = (-5 + 2w) Remove parenthesis around (-5 + 2w) 77 + -10w = -5 + 2w Solving 77 + -10w = -5 + 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. 77 + -10w + -2w = -5 + 2w + -2w Combine like terms: -10w + -2w = -12w 77 + -12w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 77 + -12w = -5 + 0 77 + -12w = -5 Add '-77' to each side of the equation. 77 + -77 + -12w = -5 + -77 Combine like terms: 77 + -77 = 0 0 + -12w = -5 + -77 -12w = -5 + -77 Combine like terms: -5 + -77 = -82 -12w = -82 Divide each side by '-12'. w = 6.833333333 Simplifying w = 6.833333333
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