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Simplifying z + -4(z + 2) = -6 + -2x Reorder the terms: z + -4(2 + z) = -6 + -2x z + (2 * -4 + z * -4) = -6 + -2x z + (-8 + -4z) = -6 + -2x Reorder the terms: -8 + z + -4z = -6 + -2x Combine like terms: z + -4z = -3z -8 + -3z = -6 + -2x Solving -8 + -3z = -6 + -2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3z = -6 + 8 + -2x Combine like terms: -8 + 8 = 0 0 + -3z = -6 + 8 + -2x -3z = -6 + 8 + -2x Combine like terms: -6 + 8 = 2 -3z = 2 + -2x Divide each side by '-3'. z = -0.6666666667 + 0.6666666667x Simplifying z = -0.6666666667 + 0.6666666667x
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