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Simplifying 6z + 20 + -5z = -1z + -4 + 10 Reorder the terms: 20 + 6z + -5z = -1z + -4 + 10 Combine like terms: 6z + -5z = 1z 20 + 1z = -1z + -4 + 10 Reorder the terms: 20 + 1z = -4 + 10 + -1z Combine like terms: -4 + 10 = 6 20 + 1z = 6 + -1z Solving 20 + 1z = 6 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 20 + 1z + z = 6 + -1z + z Combine like terms: 1z + z = 2z 20 + 2z = 6 + -1z + z Combine like terms: -1z + z = 0 20 + 2z = 6 + 0 20 + 2z = 6 Add '-20' to each side of the equation. 20 + -20 + 2z = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2z = 6 + -20 2z = 6 + -20 Combine like terms: 6 + -20 = -14 2z = -14 Divide each side by '2'. z = -7 Simplifying z = -7
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