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Simplifying -3(z + -6) = 2z + -2 Reorder the terms: -3(-6 + z) = 2z + -2 (-6 * -3 + z * -3) = 2z + -2 (18 + -3z) = 2z + -2 Reorder the terms: 18 + -3z = -2 + 2z Solving 18 + -3z = -2 + 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. 18 + -3z + -2z = -2 + 2z + -2z Combine like terms: -3z + -2z = -5z 18 + -5z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 18 + -5z = -2 + 0 18 + -5z = -2 Add '-18' to each side of the equation. 18 + -18 + -5z = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -5z = -2 + -18 -5z = -2 + -18 Combine like terms: -2 + -18 = -20 -5z = -20 Divide each side by '-5'. z = 4 Simplifying z = 4
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