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Simplifying 78 = -7w + -13 Reorder the terms: 78 = -13 + -7w Solving 78 = -13 + -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. 78 + 7w = -13 + -7w + 7w Combine like terms: -7w + 7w = 0 78 + 7w = -13 + 0 78 + 7w = -13 Add '-78' to each side of the equation. 78 + -78 + 7w = -13 + -78 Combine like terms: 78 + -78 = 0 0 + 7w = -13 + -78 7w = -13 + -78 Combine like terms: -13 + -78 = -91 7w = -91 Divide each side by '7'. w = -13 Simplifying w = -13
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