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Simplifying 4(w + -4) + -8 = -2(-9w + 3) + -4w Reorder the terms: 4(-4 + w) + -8 = -2(-9w + 3) + -4w (-4 * 4 + w * 4) + -8 = -2(-9w + 3) + -4w (-16 + 4w) + -8 = -2(-9w + 3) + -4w Reorder the terms: -16 + -8 + 4w = -2(-9w + 3) + -4w Combine like terms: -16 + -8 = -24 -24 + 4w = -2(-9w + 3) + -4w Reorder the terms: -24 + 4w = -2(3 + -9w) + -4w -24 + 4w = (3 * -2 + -9w * -2) + -4w -24 + 4w = (-6 + 18w) + -4w Combine like terms: 18w + -4w = 14w -24 + 4w = -6 + 14w Solving -24 + 4w = -6 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -24 + 4w + -14w = -6 + 14w + -14w Combine like terms: 4w + -14w = -10w -24 + -10w = -6 + 14w + -14w Combine like terms: 14w + -14w = 0 -24 + -10w = -6 + 0 -24 + -10w = -6 Add '24' to each side of the equation. -24 + 24 + -10w = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -10w = -6 + 24 -10w = -6 + 24 Combine like terms: -6 + 24 = 18 -10w = 18 Divide each side by '-10'. w = -1.8 Simplifying w = -1.8
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