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Simplifying 3(z + -2) + -4(3z + -6) + -14z = 0 Reorder the terms: 3(-2 + z) + -4(3z + -6) + -14z = 0 (-2 * 3 + z * 3) + -4(3z + -6) + -14z = 0 (-6 + 3z) + -4(3z + -6) + -14z = 0 Reorder the terms: -6 + 3z + -4(-6 + 3z) + -14z = 0 -6 + 3z + (-6 * -4 + 3z * -4) + -14z = 0 -6 + 3z + (24 + -12z) + -14z = 0 Reorder the terms: -6 + 24 + 3z + -12z + -14z = 0 Combine like terms: -6 + 24 = 18 18 + 3z + -12z + -14z = 0 Combine like terms: 3z + -12z = -9z 18 + -9z + -14z = 0 Combine like terms: -9z + -14z = -23z 18 + -23z = 0 Solving 18 + -23z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -23z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -23z = 0 + -18 -23z = 0 + -18 Combine like terms: 0 + -18 = -18 -23z = -18 Divide each side by '-23'. z = 0.7826086957 Simplifying z = 0.7826086957
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