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Simplifying 16(2 + 3) = 4(z + 9) Combine like terms: 2 + 3 = 5 16(5) = 4(z + 9) Multiply 16 * 5 80 = 4(z + 9) Reorder the terms: 80 = 4(9 + z) 80 = (9 * 4 + z * 4) 80 = (36 + 4z) Solving 80 = 36 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 80 + -4z = 36 + 4z + -4z Combine like terms: 4z + -4z = 0 80 + -4z = 36 + 0 80 + -4z = 36 Add '-80' to each side of the equation. 80 + -80 + -4z = 36 + -80 Combine like terms: 80 + -80 = 0 0 + -4z = 36 + -80 -4z = 36 + -80 Combine like terms: 36 + -80 = -44 -4z = -44 Divide each side by '-4'. z = 11 Simplifying z = 11
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