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Simplifying 14 + -1w = 6w + -2 Reorder the terms: 14 + -1w = -2 + 6w Solving 14 + -1w = -2 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 14 + -1w + -6w = -2 + 6w + -6w Combine like terms: -1w + -6w = -7w 14 + -7w = -2 + 6w + -6w Combine like terms: 6w + -6w = 0 14 + -7w = -2 + 0 14 + -7w = -2 Add '-14' to each side of the equation. 14 + -14 + -7w = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -7w = -2 + -14 -7w = -2 + -14 Combine like terms: -2 + -14 = -16 -7w = -16 Divide each side by '-7'. w = 2.285714286 Simplifying w = 2.285714286
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