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Simplifying 2(z + -20) + 32 = 10 Reorder the terms: 2(-20 + z) + 32 = 10 (-20 * 2 + z * 2) + 32 = 10 (-40 + 2z) + 32 = 10 Reorder the terms: -40 + 32 + 2z = 10 Combine like terms: -40 + 32 = -8 -8 + 2z = 10 Solving -8 + 2z = 10 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = 10 + 8 2z = 10 + 8 Combine like terms: 10 + 8 = 18 2z = 18 Divide each side by '2'. z = 9 Simplifying z = 9
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