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Simplifying -32 = 0.875(3w + -1) Reorder the terms: -32 = 0.875(-1 + 3w) -32 = (-1 * 0.875 + 3w * 0.875) -32 = (-0.875 + 2.625w) Solving -32 = -0.875 + 2.625w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2.625w' to each side of the equation. -32 + -2.625w = -0.875 + 2.625w + -2.625w Combine like terms: 2.625w + -2.625w = 0.000 -32 + -2.625w = -0.875 + 0.000 -32 + -2.625w = -0.875 Add '32' to each side of the equation. -32 + 32 + -2.625w = -0.875 + 32 Combine like terms: -32 + 32 = 0 0 + -2.625w = -0.875 + 32 -2.625w = -0.875 + 32 Combine like terms: -0.875 + 32 = 31.125 -2.625w = 31.125 Divide each side by '-2.625'. w = -11.85714286 Simplifying w = -11.85714286
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