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Simplifying 2(4z + -1) + -2(5 + -3z) = 6 Reorder the terms: 2(-1 + 4z) + -2(5 + -3z) = 6 (-1 * 2 + 4z * 2) + -2(5 + -3z) = 6 (-2 + 8z) + -2(5 + -3z) = 6 -2 + 8z + (5 * -2 + -3z * -2) = 6 -2 + 8z + (-10 + 6z) = 6 Reorder the terms: -2 + -10 + 8z + 6z = 6 Combine like terms: -2 + -10 = -12 -12 + 8z + 6z = 6 Combine like terms: 8z + 6z = 14z -12 + 14z = 6 Solving -12 + 14z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14z = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 14z = 6 + 12 14z = 6 + 12 Combine like terms: 6 + 12 = 18 14z = 18 Divide each side by '14'. z = 1.285714286 Simplifying z = 1.285714286
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