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Simplifying -2(3z + 8) = 1(9 + -18z) Reorder the terms: -2(8 + 3z) = 1(9 + -18z) (8 * -2 + 3z * -2) = 1(9 + -18z) (-16 + -6z) = 1(9 + -18z) -16 + -6z = (9 * 1 + -18z * 1) -16 + -6z = (9 + -18z) Solving -16 + -6z = 9 + -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. -16 + -6z + 18z = 9 + -18z + 18z Combine like terms: -6z + 18z = 12z -16 + 12z = 9 + -18z + 18z Combine like terms: -18z + 18z = 0 -16 + 12z = 9 + 0 -16 + 12z = 9 Add '16' to each side of the equation. -16 + 16 + 12z = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 12z = 9 + 16 12z = 9 + 16 Combine like terms: 9 + 16 = 25 12z = 25 Divide each side by '12'. z = 2.083333333 Simplifying z = 2.083333333
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