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Simplifying 2z + -3(z + 2) = -8 + -2z Reorder the terms: 2z + -3(2 + z) = -8 + -2z 2z + (2 * -3 + z * -3) = -8 + -2z 2z + (-6 + -3z) = -8 + -2z Reorder the terms: -6 + 2z + -3z = -8 + -2z Combine like terms: 2z + -3z = -1z -6 + -1z = -8 + -2z Solving -6 + -1z = -8 + -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. -6 + -1z + 2z = -8 + -2z + 2z Combine like terms: -1z + 2z = 1z -6 + 1z = -8 + -2z + 2z Combine like terms: -2z + 2z = 0 -6 + 1z = -8 + 0 -6 + 1z = -8 Add '6' to each side of the equation. -6 + 6 + 1z = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = -8 + 6 1z = -8 + 6 Combine like terms: -8 + 6 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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