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Simplifying 5(z + 4) + -8 = z + 32 Reorder the terms: 5(4 + z) + -8 = z + 32 (4 * 5 + z * 5) + -8 = z + 32 (20 + 5z) + -8 = z + 32 Reorder the terms: 20 + -8 + 5z = z + 32 Combine like terms: 20 + -8 = 12 12 + 5z = z + 32 Reorder the terms: 12 + 5z = 32 + z Solving 12 + 5z = 32 + 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. 12 + 5z + -1z = 32 + z + -1z Combine like terms: 5z + -1z = 4z 12 + 4z = 32 + z + -1z Combine like terms: z + -1z = 0 12 + 4z = 32 + 0 12 + 4z = 32 Add '-12' to each side of the equation. 12 + -12 + 4z = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = 32 + -12 4z = 32 + -12 Combine like terms: 32 + -12 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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