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Simplifying 4 + -2(3z + 5) = 0 Reorder the terms: 4 + -2(5 + 3z) = 0 4 + (5 * -2 + 3z * -2) = 0 4 + (-10 + -6z) = 0 Combine like terms: 4 + -10 = -6 -6 + -6z = 0 Solving -6 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -6z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -6z = 0 + 6 -6z = 0 + 6 Combine like terms: 0 + 6 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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