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Simplifying 4(12 + z) + -1z = (-9) (12 * 4 + z * 4) + -1z = (-9) (48 + 4z) + -1z = (-9) Combine like terms: 4z + -1z = 3z 48 + 3z = (-9) 48 + 3z = -9 Solving 48 + 3z = -9 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 + 3z = -9 + -48 Combine like terms: 48 + -48 = 0 0 + 3z = -9 + -48 3z = -9 + -48 Combine like terms: -9 + -48 = -57 3z = -57 Divide each side by '3'. z = -19 Simplifying z = -19
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