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Simplifying 3(z + -24) + 3(z + -4) = 18 Reorder the terms: 3(-24 + z) + 3(z + -4) = 18 (-24 * 3 + z * 3) + 3(z + -4) = 18 (-72 + 3z) + 3(z + -4) = 18 Reorder the terms: -72 + 3z + 3(-4 + z) = 18 -72 + 3z + (-4 * 3 + z * 3) = 18 -72 + 3z + (-12 + 3z) = 18 Reorder the terms: -72 + -12 + 3z + 3z = 18 Combine like terms: -72 + -12 = -84 -84 + 3z + 3z = 18 Combine like terms: 3z + 3z = 6z -84 + 6z = 18 Solving -84 + 6z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 6z = 18 + 84 Combine like terms: -84 + 84 = 0 0 + 6z = 18 + 84 6z = 18 + 84 Combine like terms: 18 + 84 = 102 6z = 102 Divide each side by '6'. z = 17 Simplifying z = 17
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