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Simplifying -7w + -9 = -4(w + 6) Reorder the terms: -9 + -7w = -4(w + 6) Reorder the terms: -9 + -7w = -4(6 + w) -9 + -7w = (6 * -4 + w * -4) -9 + -7w = (-24 + -4w) Solving -9 + -7w = -24 + -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. -9 + -7w + 4w = -24 + -4w + 4w Combine like terms: -7w + 4w = -3w -9 + -3w = -24 + -4w + 4w Combine like terms: -4w + 4w = 0 -9 + -3w = -24 + 0 -9 + -3w = -24 Add '9' to each side of the equation. -9 + 9 + -3w = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = -24 + 9 -3w = -24 + 9 Combine like terms: -24 + 9 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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