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Simplifying 8(5 + -1z) + -2z = -8 + 2(5z + 2) (5 * 8 + -1z * 8) + -2z = -8 + 2(5z + 2) (40 + -8z) + -2z = -8 + 2(5z + 2) Combine like terms: -8z + -2z = -10z 40 + -10z = -8 + 2(5z + 2) Reorder the terms: 40 + -10z = -8 + 2(2 + 5z) 40 + -10z = -8 + (2 * 2 + 5z * 2) 40 + -10z = -8 + (4 + 10z) Combine like terms: -8 + 4 = -4 40 + -10z = -4 + 10z Solving 40 + -10z = -4 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 40 + -10z + -10z = -4 + 10z + -10z Combine like terms: -10z + -10z = -20z 40 + -20z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 40 + -20z = -4 + 0 40 + -20z = -4 Add '-40' to each side of the equation. 40 + -40 + -20z = -4 + -40 Combine like terms: 40 + -40 = 0 0 + -20z = -4 + -40 -20z = -4 + -40 Combine like terms: -4 + -40 = -44 -20z = -44 Divide each side by '-20'. z = 2.2 Simplifying z = 2.2
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