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Simplifying 6z + 8 + -12(2z + 20) = 18 Reorder the terms: 6z + 8 + -12(20 + 2z) = 18 6z + 8 + (20 * -12 + 2z * -12) = 18 6z + 8 + (-240 + -24z) = 18 Reorder the terms: 8 + -240 + 6z + -24z = 18 Combine like terms: 8 + -240 = -232 -232 + 6z + -24z = 18 Combine like terms: 6z + -24z = -18z -232 + -18z = 18 Solving -232 + -18z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '232' to each side of the equation. -232 + 232 + -18z = 18 + 232 Combine like terms: -232 + 232 = 0 0 + -18z = 18 + 232 -18z = 18 + 232 Combine like terms: 18 + 232 = 250 -18z = 250 Divide each side by '-18'. z = -13.88888889 Simplifying z = -13.88888889
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