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Simplifying -32 = 1.14(3w + -1) Reorder the terms: -32 = 1.14(-1 + 3w) -32 = (-1 * 1.14 + 3w * 1.14) -32 = (-1.14 + 3.42w) Solving -32 = -1.14 + 3.42w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.42w' to each side of the equation. -32 + -3.42w = -1.14 + 3.42w + -3.42w Combine like terms: 3.42w + -3.42w = 0.00 -32 + -3.42w = -1.14 + 0.00 -32 + -3.42w = -1.14 Add '32' to each side of the equation. -32 + 32 + -3.42w = -1.14 + 32 Combine like terms: -32 + 32 = 0 0 + -3.42w = -1.14 + 32 -3.42w = -1.14 + 32 Combine like terms: -1.14 + 32 = 30.86 -3.42w = 30.86 Divide each side by '-3.42'. w = -9.023391813 Simplifying w = -9.023391813
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