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Simplifying 12 + -0.16(18z + 54) = -4z + -11 Reorder the terms: 12 + -0.16(54 + 18z) = -4z + -11 12 + (54 * -0.16 + 18z * -0.16) = -4z + -11 12 + (-8.64 + -2.88z) = -4z + -11 Combine like terms: 12 + -8.64 = 3.36 3.36 + -2.88z = -4z + -11 Reorder the terms: 3.36 + -2.88z = -11 + -4z Solving 3.36 + -2.88z = -11 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3.36 + -2.88z + 4z = -11 + -4z + 4z Combine like terms: -2.88z + 4z = 1.12z 3.36 + 1.12z = -11 + -4z + 4z Combine like terms: -4z + 4z = 0 3.36 + 1.12z = -11 + 0 3.36 + 1.12z = -11 Add '-3.36' to each side of the equation. 3.36 + -3.36 + 1.12z = -11 + -3.36 Combine like terms: 3.36 + -3.36 = 0.00 0.00 + 1.12z = -11 + -3.36 1.12z = -11 + -3.36 Combine like terms: -11 + -3.36 = -14.36 1.12z = -14.36 Divide each side by '1.12'. z = -12.82142857 Simplifying z = -12.82142857
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