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Simplifying 3 + 3(2z + -4) + -3(4z + 6) + -8 = 0 Reorder the terms: 3 + 3(-4 + 2z) + -3(4z + 6) + -8 = 0 3 + (-4 * 3 + 2z * 3) + -3(4z + 6) + -8 = 0 3 + (-12 + 6z) + -3(4z + 6) + -8 = 0 Reorder the terms: 3 + -12 + 6z + -3(6 + 4z) + -8 = 0 3 + -12 + 6z + (6 * -3 + 4z * -3) + -8 = 0 3 + -12 + 6z + (-18 + -12z) + -8 = 0 Reorder the terms: 3 + -12 + -18 + -8 + 6z + -12z = 0 Combine like terms: 3 + -12 = -9 -9 + -18 + -8 + 6z + -12z = 0 Combine like terms: -9 + -18 = -27 -27 + -8 + 6z + -12z = 0 Combine like terms: -27 + -8 = -35 -35 + 6z + -12z = 0 Combine like terms: 6z + -12z = -6z -35 + -6z = 0 Solving -35 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -6z = 0 + 35 -6z = 0 + 35 Combine like terms: 0 + 35 = 35 -6z = 35 Divide each side by '-6'. z = -5.833333333 Simplifying z = -5.833333333
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