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Simplifying 0 = 4(2 + -3) + -3(2z + 1) Combine like terms: 2 + -3 = -1 0 = 4(-1) + -3(2z + 1) Multiply 4 * -1 0 = -4 + -3(2z + 1) Reorder the terms: 0 = -4 + -3(1 + 2z) 0 = -4 + (1 * -3 + 2z * -3) 0 = -4 + (-3 + -6z) Combine like terms: -4 + -3 = -7 0 = -7 + -6z Solving 0 = -7 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 0 + 6z = -7 + -6z + 6z Remove the zero: 6z = -7 + -6z + 6z Combine like terms: -6z + 6z = 0 6z = -7 + 0 6z = -7 Divide each side by '6'. z = -1.166666667 Simplifying z = -1.166666667
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