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Simplifying -17(6x + -9y + 8z) = 0 (6x * -17 + -9y * -17 + 8z * -17) = 0 (-102x + 153y + -136z) = 0 Solving -102x + 153y + -136z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-153y' to each side of the equation. -102x + 153y + -153y + -136z = 0 + -153y Combine like terms: 153y + -153y = 0 -102x + 0 + -136z = 0 + -153y -102x + -136z = 0 + -153y Remove the zero: -102x + -136z = -153y Add '136z' to each side of the equation. -102x + -136z + 136z = -153y + 136z Combine like terms: -136z + 136z = 0 -102x + 0 = -153y + 136z -102x = -153y + 136z Divide each side by '-102'. x = 1.5y + -1.333333333z Simplifying x = 1.5y + -1.333333333z
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