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Simplifying 33 = -2(24 + -1z) + 3(z + -3) 33 = (24 * -2 + -1z * -2) + 3(z + -3) 33 = (-48 + 2z) + 3(z + -3) Reorder the terms: 33 = -48 + 2z + 3(-3 + z) 33 = -48 + 2z + (-3 * 3 + z * 3) 33 = -48 + 2z + (-9 + 3z) Reorder the terms: 33 = -48 + -9 + 2z + 3z Combine like terms: -48 + -9 = -57 33 = -57 + 2z + 3z Combine like terms: 2z + 3z = 5z 33 = -57 + 5z Solving 33 = -57 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 33 + -5z = -57 + 5z + -5z Combine like terms: 5z + -5z = 0 33 + -5z = -57 + 0 33 + -5z = -57 Add '-33' to each side of the equation. 33 + -33 + -5z = -57 + -33 Combine like terms: 33 + -33 = 0 0 + -5z = -57 + -33 -5z = -57 + -33 Combine like terms: -57 + -33 = -90 -5z = -90 Divide each side by '-5'. z = 18 Simplifying z = 18
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