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Simplifying 7(z + -2) + 7z + -1 = 0 Reorder the terms: 7(-2 + z) + 7z + -1 = 0 (-2 * 7 + z * 7) + 7z + -1 = 0 (-14 + 7z) + 7z + -1 = 0 Reorder the terms: -14 + -1 + 7z + 7z = 0 Combine like terms: -14 + -1 = -15 -15 + 7z + 7z = 0 Combine like terms: 7z + 7z = 14z -15 + 14z = 0 Solving -15 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 14z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 14z = 0 + 15 14z = 0 + 15 Combine like terms: 0 + 15 = 15 14z = 15 Divide each side by '14'. z = 1.071428571 Simplifying z = 1.071428571
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