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Simplifying 7(4z + 6) + -5 = 0 Reorder the terms: 7(6 + 4z) + -5 = 0 (6 * 7 + 4z * 7) + -5 = 0 (42 + 28z) + -5 = 0 Reorder the terms: 42 + -5 + 28z = 0 Combine like terms: 42 + -5 = 37 37 + 28z = 0 Solving 37 + 28z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 28z = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 28z = 0 + -37 28z = 0 + -37 Combine like terms: 0 + -37 = -37 28z = -37 Divide each side by '28'. z = -1.321428571 Simplifying z = -1.321428571
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