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Simplifying -12 = -3(z + -11) Reorder the terms: -12 = -3(-11 + z) -12 = (-11 * -3 + z * -3) -12 = (33 + -3z) Solving -12 = 33 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -12 + 3z = 33 + -3z + 3z Combine like terms: -3z + 3z = 0 -12 + 3z = 33 + 0 -12 + 3z = 33 Add '12' to each side of the equation. -12 + 12 + 3z = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 33 + 12 3z = 33 + 12 Combine like terms: 33 + 12 = 45 3z = 45 Divide each side by '3'. z = 15 Simplifying z = 15
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