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Simplifying 2(3z + -1) + -2(7 + -4z) = 2 Reorder the terms: 2(-1 + 3z) + -2(7 + -4z) = 2 (-1 * 2 + 3z * 2) + -2(7 + -4z) = 2 (-2 + 6z) + -2(7 + -4z) = 2 -2 + 6z + (7 * -2 + -4z * -2) = 2 -2 + 6z + (-14 + 8z) = 2 Reorder the terms: -2 + -14 + 6z + 8z = 2 Combine like terms: -2 + -14 = -16 -16 + 6z + 8z = 2 Combine like terms: 6z + 8z = 14z -16 + 14z = 2 Solving -16 + 14z = 2 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 = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 14z = 2 + 16 14z = 2 + 16 Combine like terms: 2 + 16 = 18 14z = 18 Divide each side by '14'. z = 1.285714286 Simplifying z = 1.285714286
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