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Simplifying -9w + -37 = -4(w + 3) Reorder the terms: -37 + -9w = -4(w + 3) Reorder the terms: -37 + -9w = -4(3 + w) -37 + -9w = (3 * -4 + w * -4) -37 + -9w = (-12 + -4w) Solving -37 + -9w = -12 + -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. -37 + -9w + 4w = -12 + -4w + 4w Combine like terms: -9w + 4w = -5w -37 + -5w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 -37 + -5w = -12 + 0 -37 + -5w = -12 Add '37' to each side of the equation. -37 + 37 + -5w = -12 + 37 Combine like terms: -37 + 37 = 0 0 + -5w = -12 + 37 -5w = -12 + 37 Combine like terms: -12 + 37 = 25 -5w = 25 Divide each side by '-5'. w = -5 Simplifying w = -5
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