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Simplifying 4 = -3(24 + -1z) + 2(z + -2) 4 = (24 * -3 + -1z * -3) + 2(z + -2) 4 = (-72 + 3z) + 2(z + -2) Reorder the terms: 4 = -72 + 3z + 2(-2 + z) 4 = -72 + 3z + (-2 * 2 + z * 2) 4 = -72 + 3z + (-4 + 2z) Reorder the terms: 4 = -72 + -4 + 3z + 2z Combine like terms: -72 + -4 = -76 4 = -76 + 3z + 2z Combine like terms: 3z + 2z = 5z 4 = -76 + 5z Solving 4 = -76 + 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. 4 + -5z = -76 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + -5z = -76 + 0 4 + -5z = -76 Add '-4' to each side of the equation. 4 + -4 + -5z = -76 + -4 Combine like terms: 4 + -4 = 0 0 + -5z = -76 + -4 -5z = -76 + -4 Combine like terms: -76 + -4 = -80 -5z = -80 Divide each side by '-5'. z = 16 Simplifying z = 16
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