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Simplifying 8[z + 4] = 5[13 + z] Reorder the terms: 8[4 + z] = 5[13 + z] [4 * 8 + z * 8] = 5[13 + z] [32 + 8z] = 5[13 + z] 32 + 8z = [13 * 5 + z * 5] 32 + 8z = [65 + 5z] Solving 32 + 8z = 65 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 32 + 8z + -5z = 65 + 5z + -5z Combine like terms: 8z + -5z = 3z 32 + 3z = 65 + 5z + -5z Combine like terms: 5z + -5z = 0 32 + 3z = 65 + 0 32 + 3z = 65 Add '-32' to each side of the equation. 32 + -32 + 3z = 65 + -32 Combine like terms: 32 + -32 = 0 0 + 3z = 65 + -32 3z = 65 + -32 Combine like terms: 65 + -32 = 33 3z = 33 Divide each side by '3'. z = 11 Simplifying z = 11
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