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Simplifying 5z + 13 = 4z + 1 Reorder the terms: 13 + 5z = 4z + 1 Reorder the terms: 13 + 5z = 1 + 4z Solving 13 + 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. 13 + 5z + -4z = 1 + 4z + -4z Combine like terms: 5z + -4z = 1z 13 + 1z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 13 + 1z = 1 + 0 13 + 1z = 1 Add '-13' to each side of the equation. 13 + -13 + 1z = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 1 + -13 1z = 1 + -13 Combine like terms: 1 + -13 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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