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Simplifying 3(z + -24) = 36 + -3(z + -2) Reorder the terms: 3(-24 + z) = 36 + -3(z + -2) (-24 * 3 + z * 3) = 36 + -3(z + -2) (-72 + 3z) = 36 + -3(z + -2) Reorder the terms: -72 + 3z = 36 + -3(-2 + z) -72 + 3z = 36 + (-2 * -3 + z * -3) -72 + 3z = 36 + (6 + -3z) Combine like terms: 36 + 6 = 42 -72 + 3z = 42 + -3z Solving -72 + 3z = 42 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -72 + 3z + 3z = 42 + -3z + 3z Combine like terms: 3z + 3z = 6z -72 + 6z = 42 + -3z + 3z Combine like terms: -3z + 3z = 0 -72 + 6z = 42 + 0 -72 + 6z = 42 Add '72' to each side of the equation. -72 + 72 + 6z = 42 + 72 Combine like terms: -72 + 72 = 0 0 + 6z = 42 + 72 6z = 42 + 72 Combine like terms: 42 + 72 = 114 6z = 114 Divide each side by '6'. z = 19 Simplifying z = 19
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