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Simplifying -5w + 7 + 3w = 1 + -12 + 4w Reorder the terms: 7 + -5w + 3w = 1 + -12 + 4w Combine like terms: -5w + 3w = -2w 7 + -2w = 1 + -12 + 4w Combine like terms: 1 + -12 = -11 7 + -2w = -11 + 4w Solving 7 + -2w = -11 + 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. 7 + -2w + -4w = -11 + 4w + -4w Combine like terms: -2w + -4w = -6w 7 + -6w = -11 + 4w + -4w Combine like terms: 4w + -4w = 0 7 + -6w = -11 + 0 7 + -6w = -11 Add '-7' to each side of the equation. 7 + -7 + -6w = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -6w = -11 + -7 -6w = -11 + -7 Combine like terms: -11 + -7 = -18 -6w = -18 Divide each side by '-6'. w = 3 Simplifying w = 3
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