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Simplifying w + 14 = 7w + -40 Reorder the terms: 14 + w = 7w + -40 Reorder the terms: 14 + w = -40 + 7w Solving 14 + w = -40 + 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. 14 + w + -7w = -40 + 7w + -7w Combine like terms: w + -7w = -6w 14 + -6w = -40 + 7w + -7w Combine like terms: 7w + -7w = 0 14 + -6w = -40 + 0 14 + -6w = -40 Add '-14' to each side of the equation. 14 + -14 + -6w = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -6w = -40 + -14 -6w = -40 + -14 Combine like terms: -40 + -14 = -54 -6w = -54 Divide each side by '-6'. w = 9 Simplifying w = 9
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