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Simplifying 74 + -2w = 2(2w + -5) Reorder the terms: 74 + -2w = 2(-5 + 2w) 74 + -2w = (-5 * 2 + 2w * 2) 74 + -2w = (-10 + 4w) Solving 74 + -2w = -10 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 74 + -2w + -4w = -10 + 4w + -4w Combine like terms: -2w + -4w = -6w 74 + -6w = -10 + 4w + -4w Combine like terms: 4w + -4w = 0 74 + -6w = -10 + 0 74 + -6w = -10 Add '-74' to each side of the equation. 74 + -74 + -6w = -10 + -74 Combine like terms: 74 + -74 = 0 0 + -6w = -10 + -74 -6w = -10 + -74 Combine like terms: -10 + -74 = -84 -6w = -84 Divide each side by '-6'. w = 14 Simplifying w = 14
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