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Simplifying 3z(z + 8) = 3z2 + -18z + 42 Reorder the terms: 3z(8 + z) = 3z2 + -18z + 42 (8 * 3z + z * 3z) = 3z2 + -18z + 42 (24z + 3z2) = 3z2 + -18z + 42 Reorder the terms: 24z + 3z2 = 42 + -18z + 3z2 Add '-3z2' to each side of the equation. 24z + 3z2 + -3z2 = 42 + -18z + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 24z + 0 = 42 + -18z + 3z2 + -3z2 24z = 42 + -18z + 3z2 + -3z2 Combine like terms: 3z2 + -3z2 = 0 24z = 42 + -18z + 0 24z = 42 + -18z Solving 24z = 42 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. 24z + 18z = 42 + -18z + 18z Combine like terms: 24z + 18z = 42z 42z = 42 + -18z + 18z Combine like terms: -18z + 18z = 0 42z = 42 + 0 42z = 42 Divide each side by '42'. z = 1 Simplifying z = 1
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