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Simplifying -6 + -3(8z + 2) = -3(6z + 2) + 2 Reorder the terms: -6 + -3(2 + 8z) = -3(6z + 2) + 2 -6 + (2 * -3 + 8z * -3) = -3(6z + 2) + 2 -6 + (-6 + -24z) = -3(6z + 2) + 2 Combine like terms: -6 + -6 = -12 -12 + -24z = -3(6z + 2) + 2 Reorder the terms: -12 + -24z = -3(2 + 6z) + 2 -12 + -24z = (2 * -3 + 6z * -3) + 2 -12 + -24z = (-6 + -18z) + 2 Reorder the terms: -12 + -24z = -6 + 2 + -18z Combine like terms: -6 + 2 = -4 -12 + -24z = -4 + -18z Solving -12 + -24z = -4 + -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. -12 + -24z + 18z = -4 + -18z + 18z Combine like terms: -24z + 18z = -6z -12 + -6z = -4 + -18z + 18z Combine like terms: -18z + 18z = 0 -12 + -6z = -4 + 0 -12 + -6z = -4 Add '12' to each side of the equation. -12 + 12 + -6z = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -6z = -4 + 12 -6z = -4 + 12 Combine like terms: -4 + 12 = 8 -6z = 8 Divide each side by '-6'. z = -1.333333333 Simplifying z = -1.333333333
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