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Simplifying 30 = -3(24 + -1z) + 3(z + -2) 30 = (24 * -3 + -1z * -3) + 3(z + -2) 30 = (-72 + 3z) + 3(z + -2) Reorder the terms: 30 = -72 + 3z + 3(-2 + z) 30 = -72 + 3z + (-2 * 3 + z * 3) 30 = -72 + 3z + (-6 + 3z) Reorder the terms: 30 = -72 + -6 + 3z + 3z Combine like terms: -72 + -6 = -78 30 = -78 + 3z + 3z Combine like terms: 3z + 3z = 6z 30 = -78 + 6z Solving 30 = -78 + 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. 30 + -6z = -78 + 6z + -6z Combine like terms: 6z + -6z = 0 30 + -6z = -78 + 0 30 + -6z = -78 Add '-30' to each side of the equation. 30 + -30 + -6z = -78 + -30 Combine like terms: 30 + -30 = 0 0 + -6z = -78 + -30 -6z = -78 + -30 Combine like terms: -78 + -30 = -108 -6z = -108 Divide each side by '-6'. z = 18 Simplifying z = 18
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