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Simplifying 6(z + -2) + 8z + -4 = 0 Reorder the terms: 6(-2 + z) + 8z + -4 = 0 (-2 * 6 + z * 6) + 8z + -4 = 0 (-12 + 6z) + 8z + -4 = 0 Reorder the terms: -12 + -4 + 6z + 8z = 0 Combine like terms: -12 + -4 = -16 -16 + 6z + 8z = 0 Combine like terms: 6z + 8z = 14z -16 + 14z = 0 Solving -16 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 14z = 0 + 16 14z = 0 + 16 Combine like terms: 0 + 16 = 16 14z = 16 Divide each side by '14'. z = 1.142857143 Simplifying z = 1.142857143
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