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Simplifying -7w + -44 = -3(w + 8) Reorder the terms: -44 + -7w = -3(w + 8) Reorder the terms: -44 + -7w = -3(8 + w) -44 + -7w = (8 * -3 + w * -3) -44 + -7w = (-24 + -3w) Solving -44 + -7w = -24 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -44 + -7w + 3w = -24 + -3w + 3w Combine like terms: -7w + 3w = -4w -44 + -4w = -24 + -3w + 3w Combine like terms: -3w + 3w = 0 -44 + -4w = -24 + 0 -44 + -4w = -24 Add '44' to each side of the equation. -44 + 44 + -4w = -24 + 44 Combine like terms: -44 + 44 = 0 0 + -4w = -24 + 44 -4w = -24 + 44 Combine like terms: -24 + 44 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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