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Simplifying 4(w + -2) + -8 = -2(-8w + 6) + -2w Reorder the terms: 4(-2 + w) + -8 = -2(-8w + 6) + -2w (-2 * 4 + w * 4) + -8 = -2(-8w + 6) + -2w (-8 + 4w) + -8 = -2(-8w + 6) + -2w Reorder the terms: -8 + -8 + 4w = -2(-8w + 6) + -2w Combine like terms: -8 + -8 = -16 -16 + 4w = -2(-8w + 6) + -2w Reorder the terms: -16 + 4w = -2(6 + -8w) + -2w -16 + 4w = (6 * -2 + -8w * -2) + -2w -16 + 4w = (-12 + 16w) + -2w Combine like terms: 16w + -2w = 14w -16 + 4w = -12 + 14w Solving -16 + 4w = -12 + 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. -16 + 4w + -14w = -12 + 14w + -14w Combine like terms: 4w + -14w = -10w -16 + -10w = -12 + 14w + -14w Combine like terms: 14w + -14w = 0 -16 + -10w = -12 + 0 -16 + -10w = -12 Add '16' to each side of the equation. -16 + 16 + -10w = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -10w = -12 + 16 -10w = -12 + 16 Combine like terms: -12 + 16 = 4 -10w = 4 Divide each side by '-10'. w = -0.4 Simplifying w = -0.4
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