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Simplifying 3(z + -23) + 3(z + -4) = 27 Reorder the terms: 3(-23 + z) + 3(z + -4) = 27 (-23 * 3 + z * 3) + 3(z + -4) = 27 (-69 + 3z) + 3(z + -4) = 27 Reorder the terms: -69 + 3z + 3(-4 + z) = 27 -69 + 3z + (-4 * 3 + z * 3) = 27 -69 + 3z + (-12 + 3z) = 27 Reorder the terms: -69 + -12 + 3z + 3z = 27 Combine like terms: -69 + -12 = -81 -81 + 3z + 3z = 27 Combine like terms: 3z + 3z = 6z -81 + 6z = 27 Solving -81 + 6z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 6z = 27 + 81 Combine like terms: -81 + 81 = 0 0 + 6z = 27 + 81 6z = 27 + 81 Combine like terms: 27 + 81 = 108 6z = 108 Divide each side by '6'. z = 18 Simplifying z = 18
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