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Simplifying 10 + -1(2z + -2) = 4 + -32 Reorder the terms: 10 + -1(-2 + 2z) = 4 + -32 10 + (-2 * -1 + 2z * -1) = 4 + -32 10 + (2 + -2z) = 4 + -32 Combine like terms: 10 + 2 = 12 12 + -2z = 4 + -32 Combine like terms: 4 + -32 = -28 12 + -2z = -28 Solving 12 + -2z = -28 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2z = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -2z = -28 + -12 -2z = -28 + -12 Combine like terms: -28 + -12 = -40 -2z = -40 Divide each side by '-2'. z = 20 Simplifying z = 20
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