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Simplifying -3(-7w + 4) + -3w = 4(w + -5) + -4 Reorder the terms: -3(4 + -7w) + -3w = 4(w + -5) + -4 (4 * -3 + -7w * -3) + -3w = 4(w + -5) + -4 (-12 + 21w) + -3w = 4(w + -5) + -4 Combine like terms: 21w + -3w = 18w -12 + 18w = 4(w + -5) + -4 Reorder the terms: -12 + 18w = 4(-5 + w) + -4 -12 + 18w = (-5 * 4 + w * 4) + -4 -12 + 18w = (-20 + 4w) + -4 Reorder the terms: -12 + 18w = -20 + -4 + 4w Combine like terms: -20 + -4 = -24 -12 + 18w = -24 + 4w Solving -12 + 18w = -24 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -12 + 18w + -4w = -24 + 4w + -4w Combine like terms: 18w + -4w = 14w -12 + 14w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 14w = -24 + 0 -12 + 14w = -24 Add '12' to each side of the equation. -12 + 12 + 14w = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 14w = -24 + 12 14w = -24 + 12 Combine like terms: -24 + 12 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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