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Simplifying 5 + -2(3z + 2) = -4 + -2z Reorder the terms: 5 + -2(2 + 3z) = -4 + -2z 5 + (2 * -2 + 3z * -2) = -4 + -2z 5 + (-4 + -6z) = -4 + -2z Combine like terms: 5 + -4 = 1 1 + -6z = -4 + -2z Solving 1 + -6z = -4 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 1 + -6z + 2z = -4 + -2z + 2z Combine like terms: -6z + 2z = -4z 1 + -4z = -4 + -2z + 2z Combine like terms: -2z + 2z = 0 1 + -4z = -4 + 0 1 + -4z = -4 Add '-1' to each side of the equation. 1 + -1 + -4z = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = -4 + -1 -4z = -4 + -1 Combine like terms: -4 + -1 = -5 -4z = -5 Divide each side by '-4'. z = 1.25 Simplifying z = 1.25
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