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Simplifying 30w + -40 + -6w = 6w + -24 + -8 Reorder the terms: -40 + 30w + -6w = 6w + -24 + -8 Combine like terms: 30w + -6w = 24w -40 + 24w = 6w + -24 + -8 Reorder the terms: -40 + 24w = -24 + -8 + 6w Combine like terms: -24 + -8 = -32 -40 + 24w = -32 + 6w Solving -40 + 24w = -32 + 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. -40 + 24w + -6w = -32 + 6w + -6w Combine like terms: 24w + -6w = 18w -40 + 18w = -32 + 6w + -6w Combine like terms: 6w + -6w = 0 -40 + 18w = -32 + 0 -40 + 18w = -32 Add '40' to each side of the equation. -40 + 40 + 18w = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 18w = -32 + 40 18w = -32 + 40 Combine like terms: -32 + 40 = 8 18w = 8 Divide each side by '18'. w = 0.4444444444 Simplifying w = 0.4444444444
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