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Simplifying 12 = -3(24 + -1z) + 3(z + -4) 12 = (24 * -3 + -1z * -3) + 3(z + -4) 12 = (-72 + 3z) + 3(z + -4) Reorder the terms: 12 = -72 + 3z + 3(-4 + z) 12 = -72 + 3z + (-4 * 3 + z * 3) 12 = -72 + 3z + (-12 + 3z) Reorder the terms: 12 = -72 + -12 + 3z + 3z Combine like terms: -72 + -12 = -84 12 = -84 + 3z + 3z Combine like terms: 3z + 3z = 6z 12 = -84 + 6z Solving 12 = -84 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + -6z = -84 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -6z = -84 + 0 12 + -6z = -84 Add '-12' to each side of the equation. 12 + -12 + -6z = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = -84 + -12 -6z = -84 + -12 Combine like terms: -84 + -12 = -96 -6z = -96 Divide each side by '-6'. z = 16 Simplifying z = 16
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