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Simplifying 4(w + -1) + -8 = -2(-9w + 4) + -8w Reorder the terms: 4(-1 + w) + -8 = -2(-9w + 4) + -8w (-1 * 4 + w * 4) + -8 = -2(-9w + 4) + -8w (-4 + 4w) + -8 = -2(-9w + 4) + -8w Reorder the terms: -4 + -8 + 4w = -2(-9w + 4) + -8w Combine like terms: -4 + -8 = -12 -12 + 4w = -2(-9w + 4) + -8w Reorder the terms: -12 + 4w = -2(4 + -9w) + -8w -12 + 4w = (4 * -2 + -9w * -2) + -8w -12 + 4w = (-8 + 18w) + -8w Combine like terms: 18w + -8w = 10w -12 + 4w = -8 + 10w Solving -12 + 4w = -8 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -12 + 4w + -10w = -8 + 10w + -10w Combine like terms: 4w + -10w = -6w -12 + -6w = -8 + 10w + -10w Combine like terms: 10w + -10w = 0 -12 + -6w = -8 + 0 -12 + -6w = -8 Add '12' to each side of the equation. -12 + 12 + -6w = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -6w = -8 + 12 -6w = -8 + 12 Combine like terms: -8 + 12 = 4 -6w = 4 Divide each side by '-6'. w = -0.6666666667 Simplifying w = -0.6666666667
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