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Simplifying 2[8z + -5(2z + -3)] = 4z + -2 Reorder the terms: 2[8z + -5(-3 + 2z)] = 4z + -2 2[8z + (-3 * -5 + 2z * -5)] = 4z + -2 2[8z + (15 + -10z)] = 4z + -2 Reorder the terms: 2[15 + 8z + -10z] = 4z + -2 Combine like terms: 8z + -10z = -2z 2[15 + -2z] = 4z + -2 [15 * 2 + -2z * 2] = 4z + -2 [30 + -4z] = 4z + -2 Reorder the terms: 30 + -4z = -2 + 4z Solving 30 + -4z = -2 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 30 + -4z + -4z = -2 + 4z + -4z Combine like terms: -4z + -4z = -8z 30 + -8z = -2 + 4z + -4z Combine like terms: 4z + -4z = 0 30 + -8z = -2 + 0 30 + -8z = -2 Add '-30' to each side of the equation. 30 + -30 + -8z = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -8z = -2 + -30 -8z = -2 + -30 Combine like terms: -2 + -30 = -32 -8z = -32 Divide each side by '-8'. z = 4 Simplifying z = 4
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