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Simplifying 2(4z + 7) + -3(z + -2) = 0 Reorder the terms: 2(7 + 4z) + -3(z + -2) = 0 (7 * 2 + 4z * 2) + -3(z + -2) = 0 (14 + 8z) + -3(z + -2) = 0 Reorder the terms: 14 + 8z + -3(-2 + z) = 0 14 + 8z + (-2 * -3 + z * -3) = 0 14 + 8z + (6 + -3z) = 0 Reorder the terms: 14 + 6 + 8z + -3z = 0 Combine like terms: 14 + 6 = 20 20 + 8z + -3z = 0 Combine like terms: 8z + -3z = 5z 20 + 5z = 0 Solving 20 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5z = 0 + -20 5z = 0 + -20 Combine like terms: 0 + -20 = -20 5z = -20 Divide each side by '5'. z = -4 Simplifying z = -4
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