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Simplifying 45x + 15y + 75Z = 0 Reorder the terms: 75Z + 45x + 15y = 0 Solving 75Z + 45x + 15y = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-45x' to each side of the equation. 75Z + 45x + -45x + 15y = 0 + -45x Combine like terms: 45x + -45x = 0 75Z + 0 + 15y = 0 + -45x 75Z + 15y = 0 + -45x Remove the zero: 75Z + 15y = -45x Add '-15y' to each side of the equation. 75Z + 15y + -15y = -45x + -15y Combine like terms: 15y + -15y = 0 75Z + 0 = -45x + -15y 75Z = -45x + -15y Divide each side by '75'. Z = -0.6x + -0.2y Simplifying Z = -0.6x + -0.2y
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