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Simplifying -32 = 1.14285714285714(3w + -1) Reorder the terms: -32 = 1.14285714285714(-1 + 3w) -32 = (-1 * 1.14285714285714 + 3w * 1.14285714285714) -32 = (-1.142857143 + 3.428571429w) Solving -32 = -1.142857143 + 3.428571429w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.428571429w' to each side of the equation. -32 + -3.428571429w = -1.142857143 + 3.428571429w + -3.428571429w Combine like terms: 3.428571429w + -3.428571429w = 0.000000000 -32 + -3.428571429w = -1.142857143 + 0.000000000 -32 + -3.428571429w = -1.142857143 Add '32' to each side of the equation. -32 + 32 + -3.428571429w = -1.142857143 + 32 Combine like terms: -32 + 32 = 0 0 + -3.428571429w = -1.142857143 + 32 -3.428571429w = -1.142857143 + 32 Combine like terms: -1.142857143 + 32 = 30.857142857 -3.428571429w = 30.857142857 Divide each side by '-3.428571429'. w = -8.999999999 Simplifying w = -8.999999999
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