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Simplifying 6(z + -3) + 8z + -2 = 0 Reorder the terms: 6(-3 + z) + 8z + -2 = 0 (-3 * 6 + z * 6) + 8z + -2 = 0 (-18 + 6z) + 8z + -2 = 0 Reorder the terms: -18 + -2 + 6z + 8z = 0 Combine like terms: -18 + -2 = -20 -20 + 6z + 8z = 0 Combine like terms: 6z + 8z = 14z -20 + 14z = 0 Solving -20 + 14z = 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 + 14z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 14z = 0 + 20 14z = 0 + 20 Combine like terms: 0 + 20 = 20 14z = 20 Divide each side by '14'. z = 1.428571429 Simplifying z = 1.428571429
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