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Simplifying 74 = 10(w + 68) + -34 Reorder the terms: 74 = 10(68 + w) + -34 74 = (68 * 10 + w * 10) + -34 74 = (680 + 10w) + -34 Reorder the terms: 74 = 680 + -34 + 10w Combine like terms: 680 + -34 = 646 74 = 646 + 10w Solving 74 = 646 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 74 + -10w = 646 + 10w + -10w Combine like terms: 10w + -10w = 0 74 + -10w = 646 + 0 74 + -10w = 646 Add '-74' to each side of the equation. 74 + -74 + -10w = 646 + -74 Combine like terms: 74 + -74 = 0 0 + -10w = 646 + -74 -10w = 646 + -74 Combine like terms: 646 + -74 = 572 -10w = 572 Divide each side by '-10'. w = -57.2 Simplifying w = -57.2
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