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Simplifying (z + -12) + 3 = -11 + 2z Reorder the terms: (-12 + z) + 3 = -11 + 2z Remove parenthesis around (-12 + z) -12 + z + 3 = -11 + 2z Reorder the terms: -12 + 3 + z = -11 + 2z Combine like terms: -12 + 3 = -9 -9 + z = -11 + 2z Solving -9 + z = -11 + 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. -9 + z + -2z = -11 + 2z + -2z Combine like terms: z + -2z = -1z -9 + -1z = -11 + 2z + -2z Combine like terms: 2z + -2z = 0 -9 + -1z = -11 + 0 -9 + -1z = -11 Add '9' to each side of the equation. -9 + 9 + -1z = -11 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -11 + 9 -1z = -11 + 9 Combine like terms: -11 + 9 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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