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Simplifying 16(z + 3) = 4(2 + 9) Reorder the terms: 16(3 + z) = 4(2 + 9) (3 * 16 + z * 16) = 4(2 + 9) (48 + 16z) = 4(2 + 9) Combine like terms: 2 + 9 = 11 48 + 16z = 4(11) Multiply 4 * 11 48 + 16z = 44 Solving 48 + 16z = 44 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 16z = 44 + -48 Combine like terms: 48 + -48 = 0 0 + 16z = 44 + -48 16z = 44 + -48 Combine like terms: 44 + -48 = -4 16z = -4 Divide each side by '16'. z = -0.25 Simplifying z = -0.25
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