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