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Simplifying 2[8z + -5(2z + -3)] = 3z + -5 Reorder the terms: 2[8z + -5(-3 + 2z)] = 3z + -5 2[8z + (-3 * -5 + 2z * -5)] = 3z + -5 2[8z + (15 + -10z)] = 3z + -5 Reorder the terms: 2[15 + 8z + -10z] = 3z + -5 Combine like terms: 8z + -10z = -2z 2[15 + -2z] = 3z + -5 [15 * 2 + -2z * 2] = 3z + -5 [30 + -4z] = 3z + -5 Reorder the terms: 30 + -4z = -5 + 3z Solving 30 + -4z = -5 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 30 + -4z + -3z = -5 + 3z + -3z Combine like terms: -4z + -3z = -7z 30 + -7z = -5 + 3z + -3z Combine like terms: 3z + -3z = 0 30 + -7z = -5 + 0 30 + -7z = -5 Add '-30' to each side of the equation. 30 + -30 + -7z = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -7z = -5 + -30 -7z = -5 + -30 Combine like terms: -5 + -30 = -35 -7z = -35 Divide each side by '-7'. z = 5 Simplifying z = 5
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