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Simplifying -7w + -9 = -45 + -3w Reorder the terms: -9 + -7w = -45 + -3w Solving -9 + -7w = -45 + -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. -9 + -7w + 3w = -45 + -3w + 3w Combine like terms: -7w + 3w = -4w -9 + -4w = -45 + -3w + 3w Combine like terms: -3w + 3w = 0 -9 + -4w = -45 + 0 -9 + -4w = -45 Add '9' to each side of the equation. -9 + 9 + -4w = -45 + 9 Combine like terms: -9 + 9 = 0 0 + -4w = -45 + 9 -4w = -45 + 9 Combine like terms: -45 + 9 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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