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Simplifying 5z + 32 = 4(2z + 5) Reorder the terms: 32 + 5z = 4(2z + 5) Reorder the terms: 32 + 5z = 4(5 + 2z) 32 + 5z = (5 * 4 + 2z * 4) 32 + 5z = (20 + 8z) Solving 32 + 5z = 20 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 32 + 5z + -8z = 20 + 8z + -8z Combine like terms: 5z + -8z = -3z 32 + -3z = 20 + 8z + -8z Combine like terms: 8z + -8z = 0 32 + -3z = 20 + 0 32 + -3z = 20 Add '-32' to each side of the equation. 32 + -32 + -3z = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -3z = 20 + -32 -3z = 20 + -32 Combine like terms: 20 + -32 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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