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Simplifying 6z + 8 + -2(2z + 20) = 18 Reorder the terms: 6z + 8 + -2(20 + 2z) = 18 6z + 8 + (20 * -2 + 2z * -2) = 18 6z + 8 + (-40 + -4z) = 18 Reorder the terms: 8 + -40 + 6z + -4z = 18 Combine like terms: 8 + -40 = -32 -32 + 6z + -4z = 18 Combine like terms: 6z + -4z = 2z -32 + 2z = 18 Solving -32 + 2z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2z = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 2z = 18 + 32 2z = 18 + 32 Combine like terms: 18 + 32 = 50 2z = 50 Divide each side by '2'. z = 25 Simplifying z = 25
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