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Simplifying 3z + -4 = 6z + -9 Reorder the terms: -4 + 3z = 6z + -9 Reorder the terms: -4 + 3z = -9 + 6z Solving -4 + 3z = -9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -4 + 3z + -6z = -9 + 6z + -6z Combine like terms: 3z + -6z = -3z -4 + -3z = -9 + 6z + -6z Combine like terms: 6z + -6z = 0 -4 + -3z = -9 + 0 -4 + -3z = -9 Add '4' to each side of the equation. -4 + 4 + -3z = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = -9 + 4 -3z = -9 + 4 Combine like terms: -9 + 4 = -5 -3z = -5 Divide each side by '-3'. z = 1.666666667 Simplifying z = 1.666666667
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