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Simplifying -2(w + -7) * 10 = 34 Reorder the terms: -2(-7 + w) * 10 = 34 Reorder the terms for easier multiplication: -2 * 10(-7 + w) = 34 Multiply -2 * 10 -20(-7 + w) = 34 (-7 * -20 + w * -20) = 34 (140 + -20w) = 34 Solving 140 + -20w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -20w = 34 + -140 Combine like terms: 140 + -140 = 0 0 + -20w = 34 + -140 -20w = 34 + -140 Combine like terms: 34 + -140 = -106 -20w = -106 Divide each side by '-20'. w = 5.3 Simplifying w = 5.3
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