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Simplifying 7(2z + 6) + -3 = 0 Reorder the terms: 7(6 + 2z) + -3 = 0 (6 * 7 + 2z * 7) + -3 = 0 (42 + 14z) + -3 = 0 Reorder the terms: 42 + -3 + 14z = 0 Combine like terms: 42 + -3 = 39 39 + 14z = 0 Solving 39 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 14z = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 14z = 0 + -39 14z = 0 + -39 Combine like terms: 0 + -39 = -39 14z = -39 Divide each side by '14'. z = -2.785714286 Simplifying z = -2.785714286
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