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Simplifying 3 + 3(2z + -8) + -3(4z + 4) + -8 = 0 Reorder the terms: 3 + 3(-8 + 2z) + -3(4z + 4) + -8 = 0 3 + (-8 * 3 + 2z * 3) + -3(4z + 4) + -8 = 0 3 + (-24 + 6z) + -3(4z + 4) + -8 = 0 Reorder the terms: 3 + -24 + 6z + -3(4 + 4z) + -8 = 0 3 + -24 + 6z + (4 * -3 + 4z * -3) + -8 = 0 3 + -24 + 6z + (-12 + -12z) + -8 = 0 Reorder the terms: 3 + -24 + -12 + -8 + 6z + -12z = 0 Combine like terms: 3 + -24 = -21 -21 + -12 + -8 + 6z + -12z = 0 Combine like terms: -21 + -12 = -33 -33 + -8 + 6z + -12z = 0 Combine like terms: -33 + -8 = -41 -41 + 6z + -12z = 0 Combine like terms: 6z + -12z = -6z -41 + -6z = 0 Solving -41 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -6z = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -6z = 0 + 41 -6z = 0 + 41 Combine like terms: 0 + 41 = 41 -6z = 41 Divide each side by '-6'. z = -6.833333333 Simplifying z = -6.833333333
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