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Simplifying 10 = 27 + -2(-3 + -2w) 10 = 27 + (-3 * -2 + -2w * -2) 10 = 27 + (6 + 4w) Combine like terms: 27 + 6 = 33 10 = 33 + 4w Solving 10 = 33 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 10 + -4w = 33 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + -4w = 33 + 0 10 + -4w = 33 Add '-10' to each side of the equation. 10 + -10 + -4w = 33 + -10 Combine like terms: 10 + -10 = 0 0 + -4w = 33 + -10 -4w = 33 + -10 Combine like terms: 33 + -10 = 23 -4w = 23 Divide each side by '-4'. w = -5.75 Simplifying w = -5.75
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