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Simplifying 10z + -4[5z + -3(z + 1)] = -8 Reorder the terms: 10z + -4[5z + -3(1 + z)] = -8 10z + -4[5z + (1 * -3 + z * -3)] = -8 10z + -4[5z + (-3 + -3z)] = -8 Reorder the terms: 10z + -4[-3 + 5z + -3z] = -8 Combine like terms: 5z + -3z = 2z 10z + -4[-3 + 2z] = -8 10z + [-3 * -4 + 2z * -4] = -8 10z + [12 + -8z] = -8 Reorder the terms: 12 + 10z + -8z = -8 Combine like terms: 10z + -8z = 2z 12 + 2z = -8 Solving 12 + 2z = -8 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 = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = -8 + -12 2z = -8 + -12 Combine like terms: -8 + -12 = -20 2z = -20 Divide each side by '2'. z = -10 Simplifying z = -10
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