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Simplifying -7w + -19 = -4w + 8 Reorder the terms: -19 + -7w = -4w + 8 Reorder the terms: -19 + -7w = 8 + -4w Solving -19 + -7w = 8 + -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. -19 + -7w + 4w = 8 + -4w + 4w Combine like terms: -7w + 4w = -3w -19 + -3w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 -19 + -3w = 8 + 0 -19 + -3w = 8 Add '19' to each side of the equation. -19 + 19 + -3w = 8 + 19 Combine like terms: -19 + 19 = 0 0 + -3w = 8 + 19 -3w = 8 + 19 Combine like terms: 8 + 19 = 27 -3w = 27 Divide each side by '-3'. w = -9 Simplifying w = -9
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