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Simplifying (x + 6y + -4z) + -1(x + -5y + 3z) = 0 Remove parenthesis around (x + 6y + -4z) x + 6y + -4z + -1(x + -5y + 3z) = 0 x + 6y + -4z + (x * -1 + -5y * -1 + 3z * -1) = 0 x + 6y + -4z + (-1x + 5y + -3z) = 0 Reorder the terms: x + -1x + 6y + 5y + -4z + -3z = 0 Combine like terms: x + -1x = 0 0 + 6y + 5y + -4z + -3z = 0 6y + 5y + -4z + -3z = 0 Combine like terms: 6y + 5y = 11y 11y + -4z + -3z = 0 Combine like terms: -4z + -3z = -7z 11y + -7z = 0 Solving 11y + -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. 11y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 11y + 0 = 0 + 7z 11y = 0 + 7z Remove the zero: 11y = 7z Divide each side by '11'. y = 0.6363636364z Simplifying y = 0.6363636364z
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