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Simplifying -5 + -9 = 3w + 7 Combine like terms: -5 + -9 = -14 -14 = 3w + 7 Reorder the terms: -14 = 7 + 3w Solving -14 = 7 + 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. -14 + -3w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 -14 + -3w = 7 + 0 -14 + -3w = 7 Add '14' to each side of the equation. -14 + 14 + -3w = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -3w = 7 + 14 -3w = 7 + 14 Combine like terms: 7 + 14 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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