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Simplifying 2z + -6(z + 2) = -8 + -2x Reorder the terms: 2z + -6(2 + z) = -8 + -2x 2z + (2 * -6 + z * -6) = -8 + -2x 2z + (-12 + -6z) = -8 + -2x Reorder the terms: -12 + 2z + -6z = -8 + -2x Combine like terms: 2z + -6z = -4z -12 + -4z = -8 + -2x Solving -12 + -4z = -8 + -2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4z = -8 + 12 + -2x Combine like terms: -12 + 12 = 0 0 + -4z = -8 + 12 + -2x -4z = -8 + 12 + -2x Combine like terms: -8 + 12 = 4 -4z = 4 + -2x Divide each side by '-4'. z = -1 + 0.5x Simplifying z = -1 + 0.5x
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