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Simplifying 51w + 102x + 34y + -170z = 1377 Solving 51w + 102x + 34y + -170z = 1377 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-102x' to each side of the equation. 51w + 102x + 34y + -102x + -170z = 1377 + -102x Reorder the terms: 51w + 102x + -102x + 34y + -170z = 1377 + -102x Combine like terms: 102x + -102x = 0 51w + 0 + 34y + -170z = 1377 + -102x 51w + 34y + -170z = 1377 + -102x Add '-34y' to each side of the equation. 51w + 34y + -34y + -170z = 1377 + -102x + -34y Combine like terms: 34y + -34y = 0 51w + 0 + -170z = 1377 + -102x + -34y 51w + -170z = 1377 + -102x + -34y Add '170z' to each side of the equation. 51w + -170z + 170z = 1377 + -102x + -34y + 170z Combine like terms: -170z + 170z = 0 51w + 0 = 1377 + -102x + -34y + 170z 51w = 1377 + -102x + -34y + 170z Divide each side by '51'. w = 27 + -2x + -0.6666666667y + 3.333333333z Simplifying w = 27 + -2x + -0.6666666667y + 3.333333333z
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