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Simplifying 2(-2w) + 7 = 9w + -4 Remove parenthesis around (-2w) 2 * -2w + 7 = 9w + -4 Multiply 2 * -2 -4w + 7 = 9w + -4 Reorder the terms: 7 + -4w = 9w + -4 Reorder the terms: 7 + -4w = -4 + 9w Solving 7 + -4w = -4 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 7 + -4w + -9w = -4 + 9w + -9w Combine like terms: -4w + -9w = -13w 7 + -13w = -4 + 9w + -9w Combine like terms: 9w + -9w = 0 7 + -13w = -4 + 0 7 + -13w = -4 Add '-7' to each side of the equation. 7 + -7 + -13w = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -13w = -4 + -7 -13w = -4 + -7 Combine like terms: -4 + -7 = -11 -13w = -11 Divide each side by '-13'. w = 0.8461538462 Simplifying w = 0.8461538462
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