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Simplifying 2 + 3(2z + -5) + -3(4z + 6) + -8 = 0 Reorder the terms: 2 + 3(-5 + 2z) + -3(4z + 6) + -8 = 0 2 + (-5 * 3 + 2z * 3) + -3(4z + 6) + -8 = 0 2 + (-15 + 6z) + -3(4z + 6) + -8 = 0 Reorder the terms: 2 + -15 + 6z + -3(6 + 4z) + -8 = 0 2 + -15 + 6z + (6 * -3 + 4z * -3) + -8 = 0 2 + -15 + 6z + (-18 + -12z) + -8 = 0 Reorder the terms: 2 + -15 + -18 + -8 + 6z + -12z = 0 Combine like terms: 2 + -15 = -13 -13 + -18 + -8 + 6z + -12z = 0 Combine like terms: -13 + -18 = -31 -31 + -8 + 6z + -12z = 0 Combine like terms: -31 + -8 = -39 -39 + 6z + -12z = 0 Combine like terms: 6z + -12z = -6z -39 + -6z = 0 Solving -39 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -6z = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -6z = 0 + 39 -6z = 0 + 39 Combine like terms: 0 + 39 = 39 -6z = 39 Divide each side by '-6'. z = -6.5 Simplifying z = -6.5
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