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Simplifying -4(2 + -3) = 2 + -3z Combine like terms: 2 + -3 = -1 -4(-1) = 2 + -3z Multiply -4 * -1 4 = 2 + -3z Solving 4 = 2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 4 + 3z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 4 + 3z = 2 + 0 4 + 3z = 2 Add '-4' to each side of the equation. 4 + -4 + 3z = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 3z = 2 + -4 3z = 2 + -4 Combine like terms: 2 + -4 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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