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Simplifying 2(3z + 2) = 42z + -5(z + -2) Reorder the terms: 2(2 + 3z) = 42z + -5(z + -2) (2 * 2 + 3z * 2) = 42z + -5(z + -2) (4 + 6z) = 42z + -5(z + -2) Reorder the terms: 4 + 6z = 42z + -5(-2 + z) 4 + 6z = 42z + (-2 * -5 + z * -5) 4 + 6z = 42z + (10 + -5z) Reorder the terms: 4 + 6z = 10 + 42z + -5z Combine like terms: 42z + -5z = 37z 4 + 6z = 10 + 37z Solving 4 + 6z = 10 + 37z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-37z' to each side of the equation. 4 + 6z + -37z = 10 + 37z + -37z Combine like terms: 6z + -37z = -31z 4 + -31z = 10 + 37z + -37z Combine like terms: 37z + -37z = 0 4 + -31z = 10 + 0 4 + -31z = 10 Add '-4' to each side of the equation. 4 + -4 + -31z = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -31z = 10 + -4 -31z = 10 + -4 Combine like terms: 10 + -4 = 6 -31z = 6 Divide each side by '-31'. z = -0.1935483871 Simplifying z = -0.1935483871
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