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Simplifying 5x + 6 + -3w = 10 + -8x + -14 Reorder the terms: 6 + -3w + 5x = 10 + -8x + -14 Reorder the terms: 6 + -3w + 5x = 10 + -14 + -8x Combine like terms: 10 + -14 = -4 6 + -3w + 5x = -4 + -8x Solving 6 + -3w + 5x = -4 + -8x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3w + -6 + 5x = -4 + -6 + -8x Reorder the terms: 6 + -6 + -3w + 5x = -4 + -6 + -8x Combine like terms: 6 + -6 = 0 0 + -3w + 5x = -4 + -6 + -8x -3w + 5x = -4 + -6 + -8x Combine like terms: -4 + -6 = -10 -3w + 5x = -10 + -8x Add '-5x' to each side of the equation. -3w + 5x + -5x = -10 + -8x + -5x Combine like terms: 5x + -5x = 0 -3w + 0 = -10 + -8x + -5x -3w = -10 + -8x + -5x Combine like terms: -8x + -5x = -13x -3w = -10 + -13x Divide each side by '-3'. w = 3.333333333 + 4.333333333x Simplifying w = 3.333333333 + 4.333333333x
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