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Simplifying 24w + -7 + 6w = -16 + -3w + -32 Reorder the terms: -7 + 24w + 6w = -16 + -3w + -32 Combine like terms: 24w + 6w = 30w -7 + 30w = -16 + -3w + -32 Reorder the terms: -7 + 30w = -16 + -32 + -3w Combine like terms: -16 + -32 = -48 -7 + 30w = -48 + -3w Solving -7 + 30w = -48 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -7 + 30w + 3w = -48 + -3w + 3w Combine like terms: 30w + 3w = 33w -7 + 33w = -48 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 33w = -48 + 0 -7 + 33w = -48 Add '7' to each side of the equation. -7 + 7 + 33w = -48 + 7 Combine like terms: -7 + 7 = 0 0 + 33w = -48 + 7 33w = -48 + 7 Combine like terms: -48 + 7 = -41 33w = -41 Divide each side by '33'. w = -1.242424242 Simplifying w = -1.242424242
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