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Simplifying x3 + 4x2 + -8w + 14 = 0 Reorder the terms: 14 + -8w + 4x2 + x3 = 0 Solving 14 + -8w + 4x2 + x3 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -8w + 4x2 + -14 + x3 = 0 + -14 Reorder the terms: 14 + -14 + -8w + 4x2 + x3 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -8w + 4x2 + x3 = 0 + -14 -8w + 4x2 + x3 = 0 + -14 Combine like terms: 0 + -14 = -14 -8w + 4x2 + x3 = -14 Add '-4x2' to each side of the equation. -8w + 4x2 + -4x2 + x3 = -14 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8w + 0 + x3 = -14 + -4x2 -8w + x3 = -14 + -4x2 Add '-1x3' to each side of the equation. -8w + x3 + -1x3 = -14 + -4x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -8w + 0 = -14 + -4x2 + -1x3 -8w = -14 + -4x2 + -1x3 Divide each side by '-8'. w = 1.75 + 0.5x2 + 0.125x3 Simplifying w = 1.75 + 0.5x2 + 0.125x3
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