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Simplifying -2(x + -7) + 10w = 34 Reorder the terms: -2(-7 + x) + 10w = 34 (-7 * -2 + x * -2) + 10w = 34 (14 + -2x) + 10w = 34 Reorder the terms: 14 + 10w + -2x = 34 Solving 14 + 10w + -2x = 34 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 + 10w + -14 + -2x = 34 + -14 Reorder the terms: 14 + -14 + 10w + -2x = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 10w + -2x = 34 + -14 10w + -2x = 34 + -14 Combine like terms: 34 + -14 = 20 10w + -2x = 20 Add '2x' to each side of the equation. 10w + -2x + 2x = 20 + 2x Combine like terms: -2x + 2x = 0 10w + 0 = 20 + 2x 10w = 20 + 2x Divide each side by '10'. w = 2 + 0.2x Simplifying w = 2 + 0.2x
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