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Simplifying -4w + 17 + -5 = -6w + -18 Reorder the terms: 17 + -5 + -4w = -6w + -18 Combine like terms: 17 + -5 = 12 12 + -4w = -6w + -18 Reorder the terms: 12 + -4w = -18 + -6w Solving 12 + -4w = -18 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 12 + -4w + 6w = -18 + -6w + 6w Combine like terms: -4w + 6w = 2w 12 + 2w = -18 + -6w + 6w Combine like terms: -6w + 6w = 0 12 + 2w = -18 + 0 12 + 2w = -18 Add '-12' to each side of the equation. 12 + -12 + 2w = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -18 + -12 2w = -18 + -12 Combine like terms: -18 + -12 = -30 2w = -30 Divide each side by '2'. w = -15 Simplifying w = -15
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