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Simplifying Zz + -2(z + 1) = 3z + -1(20 + 5z) Reorder the terms: zZ + -2(1 + z) = 3z + -1(20 + 5z) zZ + (1 * -2 + z * -2) = 3z + -1(20 + 5z) zZ + (-2 + -2z) = 3z + -1(20 + 5z) Reorder the terms: -2 + -2z + zZ = 3z + -1(20 + 5z) -2 + -2z + zZ = 3z + (20 * -1 + 5z * -1) -2 + -2z + zZ = 3z + (-20 + -5z) Reorder the terms: -2 + -2z + zZ = -20 + 3z + -5z Combine like terms: 3z + -5z = -2z -2 + -2z + zZ = -20 + -2z Add '2z' to each side of the equation. -2 + -2z + 2z + zZ = -20 + -2z + 2z Combine like terms: -2z + 2z = 0 -2 + 0 + zZ = -20 + -2z + 2z -2 + zZ = -20 + -2z + 2z Combine like terms: -2z + 2z = 0 -2 + zZ = -20 + 0 -2 + zZ = -20 Solving -2 + zZ = -20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + zZ = -20 + 2 Combine like terms: -2 + 2 = 0 0 + zZ = -20 + 2 zZ = -20 + 2 Combine like terms: -20 + 2 = -18 zZ = -18 Divide each side by 'Z'. z = -18Z-1 Simplifying z = -18Z-1
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