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Simplifying 2(w + -2) + -2 = -4(-5 + 3) + -9w Reorder the terms: 2(-2 + w) + -2 = -4(-5 + 3) + -9w (-2 * 2 + w * 2) + -2 = -4(-5 + 3) + -9w (-4 + 2w) + -2 = -4(-5 + 3) + -9w Reorder the terms: -4 + -2 + 2w = -4(-5 + 3) + -9w Combine like terms: -4 + -2 = -6 -6 + 2w = -4(-5 + 3) + -9w Combine like terms: -5 + 3 = -2 -6 + 2w = -4(-2) + -9w Multiply -4 * -2 -6 + 2w = 8 + -9w Solving -6 + 2w = 8 + -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. -6 + 2w + 9w = 8 + -9w + 9w Combine like terms: 2w + 9w = 11w -6 + 11w = 8 + -9w + 9w Combine like terms: -9w + 9w = 0 -6 + 11w = 8 + 0 -6 + 11w = 8 Add '6' to each side of the equation. -6 + 6 + 11w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 11w = 8 + 6 11w = 8 + 6 Combine like terms: 8 + 6 = 14 11w = 14 Divide each side by '11'. w = 1.272727273 Simplifying w = 1.272727273
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