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Simplifying 6(z + -3) + 8z + -1 = 0 Reorder the terms: 6(-3 + z) + 8z + -1 = 0 (-3 * 6 + z * 6) + 8z + -1 = 0 (-18 + 6z) + 8z + -1 = 0 Reorder the terms: -18 + -1 + 6z + 8z = 0 Combine like terms: -18 + -1 = -19 -19 + 6z + 8z = 0 Combine like terms: 6z + 8z = 14z -19 + 14z = 0 Solving -19 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 14z = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 14z = 0 + 19 14z = 0 + 19 Combine like terms: 0 + 19 = 19 14z = 19 Divide each side by '14'. z = 1.357142857 Simplifying z = 1.357142857
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