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Simplifying -15 + 6w + 2 = 5w + -83 + -3w Reorder the terms: -15 + 2 + 6w = 5w + -83 + -3w Combine like terms: -15 + 2 = -13 -13 + 6w = 5w + -83 + -3w Reorder the terms: -13 + 6w = -83 + 5w + -3w Combine like terms: 5w + -3w = 2w -13 + 6w = -83 + 2w Solving -13 + 6w = -83 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -13 + 6w + -2w = -83 + 2w + -2w Combine like terms: 6w + -2w = 4w -13 + 4w = -83 + 2w + -2w Combine like terms: 2w + -2w = 0 -13 + 4w = -83 + 0 -13 + 4w = -83 Add '13' to each side of the equation. -13 + 13 + 4w = -83 + 13 Combine like terms: -13 + 13 = 0 0 + 4w = -83 + 13 4w = -83 + 13 Combine like terms: -83 + 13 = -70 4w = -70 Divide each side by '4'. w = -17.5 Simplifying w = -17.5
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