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Simplifying 3(7z + -1) + -5(3 + z) = -14 Reorder the terms: 3(-1 + 7z) + -5(3 + z) = -14 (-1 * 3 + 7z * 3) + -5(3 + z) = -14 (-3 + 21z) + -5(3 + z) = -14 -3 + 21z + (3 * -5 + z * -5) = -14 -3 + 21z + (-15 + -5z) = -14 Reorder the terms: -3 + -15 + 21z + -5z = -14 Combine like terms: -3 + -15 = -18 -18 + 21z + -5z = -14 Combine like terms: 21z + -5z = 16z -18 + 16z = -14 Solving -18 + 16z = -14 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 16z = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 16z = -14 + 18 16z = -14 + 18 Combine like terms: -14 + 18 = 4 16z = 4 Divide each side by '16'. z = 0.25 Simplifying z = 0.25
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