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Simplifying 13 + 19 = z + 5 Combine like terms: 13 + 19 = 32 32 = z + 5 Reorder the terms: 32 = 5 + z Solving 32 = 5 + 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. 32 + -1z = 5 + z + -1z Combine like terms: z + -1z = 0 32 + -1z = 5 + 0 32 + -1z = 5 Add '-32' to each side of the equation. 32 + -32 + -1z = 5 + -32 Combine like terms: 32 + -32 = 0 0 + -1z = 5 + -32 -1z = 5 + -32 Combine like terms: 5 + -32 = -27 -1z = -27 Divide each side by '-1'. z = 27 Simplifying z = 27
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