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Simplifying -3w + -8 = -7w + -48 Reorder the terms: -8 + -3w = -7w + -48 Reorder the terms: -8 + -3w = -48 + -7w Solving -8 + -3w = -48 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -8 + -3w + 7w = -48 + -7w + 7w Combine like terms: -3w + 7w = 4w -8 + 4w = -48 + -7w + 7w Combine like terms: -7w + 7w = 0 -8 + 4w = -48 + 0 -8 + 4w = -48 Add '8' to each side of the equation. -8 + 8 + 4w = -48 + 8 Combine like terms: -8 + 8 = 0 0 + 4w = -48 + 8 4w = -48 + 8 Combine like terms: -48 + 8 = -40 4w = -40 Divide each side by '4'. w = -10 Simplifying w = -10
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