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Simplifying 2(w + -5) + -8 = -4(-4w + 6) + -2w Reorder the terms: 2(-5 + w) + -8 = -4(-4w + 6) + -2w (-5 * 2 + w * 2) + -8 = -4(-4w + 6) + -2w (-10 + 2w) + -8 = -4(-4w + 6) + -2w Reorder the terms: -10 + -8 + 2w = -4(-4w + 6) + -2w Combine like terms: -10 + -8 = -18 -18 + 2w = -4(-4w + 6) + -2w Reorder the terms: -18 + 2w = -4(6 + -4w) + -2w -18 + 2w = (6 * -4 + -4w * -4) + -2w -18 + 2w = (-24 + 16w) + -2w Combine like terms: 16w + -2w = 14w -18 + 2w = -24 + 14w Solving -18 + 2w = -24 + 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. -18 + 2w + -14w = -24 + 14w + -14w Combine like terms: 2w + -14w = -12w -18 + -12w = -24 + 14w + -14w Combine like terms: 14w + -14w = 0 -18 + -12w = -24 + 0 -18 + -12w = -24 Add '18' to each side of the equation. -18 + 18 + -12w = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -12w = -24 + 18 -12w = -24 + 18 Combine like terms: -24 + 18 = -6 -12w = -6 Divide each side by '-12'. w = 0.5 Simplifying w = 0.5
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