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Simplifying -5w + -6(-3x + 2w) + 3x = 0 Reorder the terms: -5w + -6(2w + -3x) + 3x = 0 -5w + (2w * -6 + -3x * -6) + 3x = 0 -5w + (-12w + 18x) + 3x = 0 Combine like terms: -5w + -12w = -17w -17w + 18x + 3x = 0 Combine like terms: 18x + 3x = 21x -17w + 21x = 0 Solving -17w + 21x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21x' to each side of the equation. -17w + 21x + -21x = 0 + -21x Combine like terms: 21x + -21x = 0 -17w + 0 = 0 + -21x -17w = 0 + -21x Remove the zero: -17w = -21x Divide each side by '-17'. w = 1.235294118x Simplifying w = 1.235294118x
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