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Simplifying -3(z + 2) = 5 + -2z Reorder the terms: -3(2 + z) = 5 + -2z (2 * -3 + z * -3) = 5 + -2z (-6 + -3z) = 5 + -2z Solving -6 + -3z = 5 + -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 + -3z + 2z = 5 + -2z + 2z Combine like terms: -3z + 2z = -1z -6 + -1z = 5 + -2z + 2z Combine like terms: -2z + 2z = 0 -6 + -1z = 5 + 0 -6 + -1z = 5 Add '6' to each side of the equation. -6 + 6 + -1z = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = 5 + 6 -1z = 5 + 6 Combine like terms: 5 + 6 = 11 -1z = 11 Divide each side by '-1'. z = -11 Simplifying z = -11
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