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Simplifying 3[2 + -1(8z + 33) + 5] = 2(z + 4) Reorder the terms: 3[2 + -1(33 + 8z) + 5] = 2(z + 4) 3[2 + (33 * -1 + 8z * -1) + 5] = 2(z + 4) 3[2 + (-33 + -8z) + 5] = 2(z + 4) Reorder the terms: 3[2 + -33 + 5 + -8z] = 2(z + 4) Combine like terms: 2 + -33 = -31 3[-31 + 5 + -8z] = 2(z + 4) Combine like terms: -31 + 5 = -26 3[-26 + -8z] = 2(z + 4) [-26 * 3 + -8z * 3] = 2(z + 4) [-78 + -24z] = 2(z + 4) Reorder the terms: -78 + -24z = 2(4 + z) -78 + -24z = (4 * 2 + z * 2) -78 + -24z = (8 + 2z) Solving -78 + -24z = 8 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -78 + -24z + -2z = 8 + 2z + -2z Combine like terms: -24z + -2z = -26z -78 + -26z = 8 + 2z + -2z Combine like terms: 2z + -2z = 0 -78 + -26z = 8 + 0 -78 + -26z = 8 Add '78' to each side of the equation. -78 + 78 + -26z = 8 + 78 Combine like terms: -78 + 78 = 0 0 + -26z = 8 + 78 -26z = 8 + 78 Combine like terms: 8 + 78 = 86 -26z = 86 Divide each side by '-26'. z = -3.307692308 Simplifying z = -3.307692308
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