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Simplifying -2(12z + 20) = 20 + -18z Reorder the terms: -2(20 + 12z) = 20 + -18z (20 * -2 + 12z * -2) = 20 + -18z (-40 + -24z) = 20 + -18z Solving -40 + -24z = 20 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. -40 + -24z + 18z = 20 + -18z + 18z Combine like terms: -24z + 18z = -6z -40 + -6z = 20 + -18z + 18z Combine like terms: -18z + 18z = 0 -40 + -6z = 20 + 0 -40 + -6z = 20 Add '40' to each side of the equation. -40 + 40 + -6z = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -6z = 20 + 40 -6z = 20 + 40 Combine like terms: 20 + 40 = 60 -6z = 60 Divide each side by '-6'. z = -10 Simplifying z = -10
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