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Simplifying 15 + -2w + -2 = 2w + -30 Reorder the terms: 15 + -2 + -2w = 2w + -30 Combine like terms: 15 + -2 = 13 13 + -2w = 2w + -30 Reorder the terms: 13 + -2w = -30 + 2w Solving 13 + -2w = -30 + 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 + -2w + -2w = -30 + 2w + -2w Combine like terms: -2w + -2w = -4w 13 + -4w = -30 + 2w + -2w Combine like terms: 2w + -2w = 0 13 + -4w = -30 + 0 13 + -4w = -30 Add '-13' to each side of the equation. 13 + -13 + -4w = -30 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = -30 + -13 -4w = -30 + -13 Combine like terms: -30 + -13 = -43 -4w = -43 Divide each side by '-4'. w = 10.75 Simplifying w = 10.75
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