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Simplifying 16(z + 3) = 4(z + 9) Reorder the terms: 16(3 + z) = 4(z + 9) (3 * 16 + z * 16) = 4(z + 9) (48 + 16z) = 4(z + 9) Reorder the terms: 48 + 16z = 4(9 + z) 48 + 16z = (9 * 4 + z * 4) 48 + 16z = (36 + 4z) Solving 48 + 16z = 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. 48 + 16z + -4z = 36 + 4z + -4z Combine like terms: 16z + -4z = 12z 48 + 12z = 36 + 4z + -4z Combine like terms: 4z + -4z = 0 48 + 12z = 36 + 0 48 + 12z = 36 Add '-48' to each side of the equation. 48 + -48 + 12z = 36 + -48 Combine like terms: 48 + -48 = 0 0 + 12z = 36 + -48 12z = 36 + -48 Combine like terms: 36 + -48 = -12 12z = -12 Divide each side by '12'. z = -1 Simplifying z = -1
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