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Simplifying 12 + (4 + -1z) = 20 + z Remove parenthesis around (4 + -1z) 12 + 4 + -1z = 20 + z Combine like terms: 12 + 4 = 16 16 + -1z = 20 + z Solving 16 + -1z = 20 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 16 + -1z + -1z = 20 + z + -1z Combine like terms: -1z + -1z = -2z 16 + -2z = 20 + z + -1z Combine like terms: z + -1z = 0 16 + -2z = 20 + 0 16 + -2z = 20 Add '-16' to each side of the equation. 16 + -16 + -2z = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -2z = 20 + -16 -2z = 20 + -16 Combine like terms: 20 + -16 = 4 -2z = 4 Divide each side by '-2'. z = -2 Simplifying z = -2
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