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Simplifying 7(2w + 4) + -1w = -14 + 3(x + 10) Reorder the terms: 7(4 + 2w) + -1w = -14 + 3(x + 10) (4 * 7 + 2w * 7) + -1w = -14 + 3(x + 10) (28 + 14w) + -1w = -14 + 3(x + 10) Combine like terms: 14w + -1w = 13w 28 + 13w = -14 + 3(x + 10) Reorder the terms: 28 + 13w = -14 + 3(10 + x) 28 + 13w = -14 + (10 * 3 + x * 3) 28 + 13w = -14 + (30 + 3x) Combine like terms: -14 + 30 = 16 28 + 13w = 16 + 3x Solving 28 + 13w = 16 + 3x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 13w = 16 + -28 + 3x Combine like terms: 28 + -28 = 0 0 + 13w = 16 + -28 + 3x 13w = 16 + -28 + 3x Combine like terms: 16 + -28 = -12 13w = -12 + 3x Divide each side by '13'. w = -0.9230769231 + 0.2307692308x Simplifying w = -0.9230769231 + 0.2307692308x
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