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Simplifying 6 + -2(7z + -3) + 4z = 0 Reorder the terms: 6 + -2(-3 + 7z) + 4z = 0 6 + (-3 * -2 + 7z * -2) + 4z = 0 6 + (6 + -14z) + 4z = 0 Combine like terms: 6 + 6 = 12 12 + -14z + 4z = 0 Combine like terms: -14z + 4z = -10z 12 + -10z = 0 Solving 12 + -10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -10z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -10z = 0 + -12 -10z = 0 + -12 Combine like terms: 0 + -12 = -12 -10z = -12 Divide each side by '-10'. z = 1.2 Simplifying z = 1.2
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