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Simplifying 5z + -3 = z + 13 Reorder the terms: -3 + 5z = z + 13 Reorder the terms: -3 + 5z = 13 + z Solving -3 + 5z = 13 + 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. -3 + 5z + -1z = 13 + z + -1z Combine like terms: 5z + -1z = 4z -3 + 4z = 13 + z + -1z Combine like terms: z + -1z = 0 -3 + 4z = 13 + 0 -3 + 4z = 13 Add '3' to each side of the equation. -3 + 3 + 4z = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4z = 13 + 3 4z = 13 + 3 Combine like terms: 13 + 3 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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