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Simplifying Z + 10y + 5y + -1z = 0 Combine like terms: 10y + 5y = 15y Z + 15y + -1z = 0 Solving Z + 15y + -1z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-15y' to each side of the equation. Z + 15y + -15y + -1z = 0 + -15y Combine like terms: 15y + -15y = 0 Z + 0 + -1z = 0 + -15y Z + -1z = 0 + -15y Remove the zero: Z + -1z = -15y Add 'z' to each side of the equation. Z + -1z + z = -15y + z Combine like terms: -1z + z = 0 Z + 0 = -15y + z Z = -15y + z Simplifying Z = -15y + z
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