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Simplifying 2(3z + -2) + -3(z + -5) = 0 Reorder the terms: 2(-2 + 3z) + -3(z + -5) = 0 (-2 * 2 + 3z * 2) + -3(z + -5) = 0 (-4 + 6z) + -3(z + -5) = 0 Reorder the terms: -4 + 6z + -3(-5 + z) = 0 -4 + 6z + (-5 * -3 + z * -3) = 0 -4 + 6z + (15 + -3z) = 0 Reorder the terms: -4 + 15 + 6z + -3z = 0 Combine like terms: -4 + 15 = 11 11 + 6z + -3z = 0 Combine like terms: 6z + -3z = 3z 11 + 3z = 0 Solving 11 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3z = 0 + -11 3z = 0 + -11 Combine like terms: 0 + -11 = -11 3z = -11 Divide each side by '3'. z = -3.666666667 Simplifying z = -3.666666667
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