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Simplifying 6z + 32 = 4(4z + 5) Reorder the terms: 32 + 6z = 4(4z + 5) Reorder the terms: 32 + 6z = 4(5 + 4z) 32 + 6z = (5 * 4 + 4z * 4) 32 + 6z = (20 + 16z) Solving 32 + 6z = 20 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 32 + 6z + -16z = 20 + 16z + -16z Combine like terms: 6z + -16z = -10z 32 + -10z = 20 + 16z + -16z Combine like terms: 16z + -16z = 0 32 + -10z = 20 + 0 32 + -10z = 20 Add '-32' to each side of the equation. 32 + -32 + -10z = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -10z = 20 + -32 -10z = 20 + -32 Combine like terms: 20 + -32 = -12 -10z = -12 Divide each side by '-10'. z = 1.2 Simplifying z = 1.2
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