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Simplifying (-5x + -3y) + -1(-1x + -3Z) = 0 Remove parenthesis around (-5x + -3y) -5x + -3y + -1(-1x + -3Z) = 0 Reorder the terms: -5x + -3y + -1(-3Z + -1x) = 0 -5x + -3y + (-3Z * -1 + -1x * -1) = 0 -5x + -3y + (3Z + 1x) = 0 Reorder the terms: 3Z + -5x + 1x + -3y = 0 Combine like terms: -5x + 1x = -4x 3Z + -4x + -3y = 0 Solving 3Z + -4x + -3y = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '4x' to each side of the equation. 3Z + -4x + 4x + -3y = 0 + 4x Combine like terms: -4x + 4x = 0 3Z + 0 + -3y = 0 + 4x 3Z + -3y = 0 + 4x Remove the zero: 3Z + -3y = 4x Add '3y' to each side of the equation. 3Z + -3y + 3y = 4x + 3y Combine like terms: -3y + 3y = 0 3Z + 0 = 4x + 3y 3Z = 4x + 3y Divide each side by '3'. Z = 1.333333333x + y Simplifying Z = 1.333333333x + y
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