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Simplifying -32 = 1.142(3w + -1) Reorder the terms: -32 = 1.142(-1 + 3w) -32 = (-1 * 1.142 + 3w * 1.142) -32 = (-1.142 + 3.426w) Solving -32 = -1.142 + 3.426w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.426w' to each side of the equation. -32 + -3.426w = -1.142 + 3.426w + -3.426w Combine like terms: 3.426w + -3.426w = 0.000 -32 + -3.426w = -1.142 + 0.000 -32 + -3.426w = -1.142 Add '32' to each side of the equation. -32 + 32 + -3.426w = -1.142 + 32 Combine like terms: -32 + 32 = 0 0 + -3.426w = -1.142 + 32 -3.426w = -1.142 + 32 Combine like terms: -1.142 + 32 = 30.858 -3.426w = 30.858 Divide each side by '-3.426'. w = -9.007005254 Simplifying w = -9.007005254
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