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Simplifying 10 + 5z + 10 = 4z + 1 Reorder the terms: 10 + 10 + 5z = 4z + 1 Combine like terms: 10 + 10 = 20 20 + 5z = 4z + 1 Reorder the terms: 20 + 5z = 1 + 4z Solving 20 + 5z = 1 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 20 + 5z + -4z = 1 + 4z + -4z Combine like terms: 5z + -4z = 1z 20 + 1z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 20 + 1z = 1 + 0 20 + 1z = 1 Add '-20' to each side of the equation. 20 + -20 + 1z = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 1z = 1 + -20 1z = 1 + -20 Combine like terms: 1 + -20 = -19 1z = -19 Divide each side by '1'. z = -19 Simplifying z = -19
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