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Simplifying -4w + -13 = -2w + -9 Reorder the terms: -13 + -4w = -2w + -9 Reorder the terms: -13 + -4w = -9 + -2w Solving -13 + -4w = -9 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -13 + -4w + 2w = -9 + -2w + 2w Combine like terms: -4w + 2w = -2w -13 + -2w = -9 + -2w + 2w Combine like terms: -2w + 2w = 0 -13 + -2w = -9 + 0 -13 + -2w = -9 Add '13' to each side of the equation. -13 + 13 + -2w = -9 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = -9 + 13 -2w = -9 + 13 Combine like terms: -9 + 13 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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