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Simplifying 18 + -3z = 12z + -3(3 + -2z) 18 + -3z = 12z + (3 * -3 + -2z * -3) 18 + -3z = 12z + (-9 + 6z) Reorder the terms: 18 + -3z = -9 + 12z + 6z Combine like terms: 12z + 6z = 18z 18 + -3z = -9 + 18z Solving 18 + -3z = -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. 18 + -3z + -18z = -9 + 18z + -18z Combine like terms: -3z + -18z = -21z 18 + -21z = -9 + 18z + -18z Combine like terms: 18z + -18z = 0 18 + -21z = -9 + 0 18 + -21z = -9 Add '-18' to each side of the equation. 18 + -18 + -21z = -9 + -18 Combine like terms: 18 + -18 = 0 0 + -21z = -9 + -18 -21z = -9 + -18 Combine like terms: -9 + -18 = -27 -21z = -27 Divide each side by '-21'. z = 1.285714286 Simplifying z = 1.285714286
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