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Simplifying z + -4(z + 2) = -6 + -2z Reorder the terms: z + -4(2 + z) = -6 + -2z z + (2 * -4 + z * -4) = -6 + -2z z + (-8 + -4z) = -6 + -2z Reorder the terms: -8 + z + -4z = -6 + -2z Combine like terms: z + -4z = -3z -8 + -3z = -6 + -2z Solving -8 + -3z = -6 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -8 + -3z + 2z = -6 + -2z + 2z Combine like terms: -3z + 2z = -1z -8 + -1z = -6 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + -1z = -6 + 0 -8 + -1z = -6 Add '8' to each side of the equation. -8 + 8 + -1z = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -6 + 8 -1z = -6 + 8 Combine like terms: -6 + 8 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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