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Simplifying 2(3z + -5) + -6 = 0 Reorder the terms: 2(-5 + 3z) + -6 = 0 (-5 * 2 + 3z * 2) + -6 = 0 (-10 + 6z) + -6 = 0 Reorder the terms: -10 + -6 + 6z = 0 Combine like terms: -10 + -6 = -16 -16 + 6z = 0 Solving -16 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 6z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 6z = 0 + 16 6z = 0 + 16 Combine like terms: 0 + 16 = 16 6z = 16 Divide each side by '6'. z = 2.666666667 Simplifying z = 2.666666667
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