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Simplifying 2 + -5(2z + 4) + 2(2 + z) = -17 Reorder the terms: 2 + -5(4 + 2z) + 2(2 + z) = -17 2 + (4 * -5 + 2z * -5) + 2(2 + z) = -17 2 + (-20 + -10z) + 2(2 + z) = -17 2 + -20 + -10z + (2 * 2 + z * 2) = -17 2 + -20 + -10z + (4 + 2z) = -17 Reorder the terms: 2 + -20 + 4 + -10z + 2z = -17 Combine like terms: 2 + -20 = -18 -18 + 4 + -10z + 2z = -17 Combine like terms: -18 + 4 = -14 -14 + -10z + 2z = -17 Combine like terms: -10z + 2z = -8z -14 + -8z = -17 Solving -14 + -8z = -17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -8z = -17 + 14 Combine like terms: -14 + 14 = 0 0 + -8z = -17 + 14 -8z = -17 + 14 Combine like terms: -17 + 14 = -3 -8z = -3 Divide each side by '-8'. z = 0.375 Simplifying z = 0.375
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