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Simplifying 3w + -12 + -2 = 15w + -30 + -2w Reorder the terms: -12 + -2 + 3w = 15w + -30 + -2w Combine like terms: -12 + -2 = -14 -14 + 3w = 15w + -30 + -2w Reorder the terms: -14 + 3w = -30 + 15w + -2w Combine like terms: 15w + -2w = 13w -14 + 3w = -30 + 13w Solving -14 + 3w = -30 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -14 + 3w + -13w = -30 + 13w + -13w Combine like terms: 3w + -13w = -10w -14 + -10w = -30 + 13w + -13w Combine like terms: 13w + -13w = 0 -14 + -10w = -30 + 0 -14 + -10w = -30 Add '14' to each side of the equation. -14 + 14 + -10w = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -10w = -30 + 14 -10w = -30 + 14 Combine like terms: -30 + 14 = -16 -10w = -16 Divide each side by '-10'. w = 1.6 Simplifying w = 1.6
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