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Simplifying (x + 2y + -5z) + -1(x + -2y + 2z) = 0 Remove parenthesis around (x + 2y + -5z) x + 2y + -5z + -1(x + -2y + 2z) = 0 x + 2y + -5z + (x * -1 + -2y * -1 + 2z * -1) = 0 x + 2y + -5z + (-1x + 2y + -2z) = 0 Reorder the terms: x + -1x + 2y + 2y + -5z + -2z = 0 Combine like terms: x + -1x = 0 0 + 2y + 2y + -5z + -2z = 0 2y + 2y + -5z + -2z = 0 Combine like terms: 2y + 2y = 4y 4y + -5z + -2z = 0 Combine like terms: -5z + -2z = -7z 4y + -7z = 0 Solving 4y + -7z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. 4y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 4y + 0 = 0 + 7z 4y = 0 + 7z Remove the zero: 4y = 7z Divide each side by '4'. y = 1.75z Simplifying y = 1.75z
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