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Simplifying 7z + -1(2 + z) = 3(3z + -1) 7z + (2 * -1 + z * -1) = 3(3z + -1) 7z + (-2 + -1z) = 3(3z + -1) Reorder the terms: -2 + 7z + -1z = 3(3z + -1) Combine like terms: 7z + -1z = 6z -2 + 6z = 3(3z + -1) Reorder the terms: -2 + 6z = 3(-1 + 3z) -2 + 6z = (-1 * 3 + 3z * 3) -2 + 6z = (-3 + 9z) Solving -2 + 6z = -3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -2 + 6z + -9z = -3 + 9z + -9z Combine like terms: 6z + -9z = -3z -2 + -3z = -3 + 9z + -9z Combine like terms: 9z + -9z = 0 -2 + -3z = -3 + 0 -2 + -3z = -3 Add '2' to each side of the equation. -2 + 2 + -3z = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -3z = -3 + 2 -3z = -3 + 2 Combine like terms: -3 + 2 = -1 -3z = -1 Divide each side by '-3'. z = 0.3333333333 Simplifying z = 0.3333333333
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