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Simplifying -1(3z + 4) = 6z + -3(3x + 2) Reorder the terms: -1(4 + 3z) = 6z + -3(3x + 2) (4 * -1 + 3z * -1) = 6z + -3(3x + 2) (-4 + -3z) = 6z + -3(3x + 2) Reorder the terms: -4 + -3z = 6z + -3(2 + 3x) -4 + -3z = 6z + (2 * -3 + 3x * -3) -4 + -3z = 6z + (-6 + -9x) Reorder the terms: -4 + -3z = -6 + -9x + 6z Solving -4 + -3z = -6 + -9x + 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 = -6 + -9x + 6z + -6z Combine like terms: -3z + -6z = -9z -4 + -9z = -6 + -9x + 6z + -6z Combine like terms: 6z + -6z = 0 -4 + -9z = -6 + -9x + 0 -4 + -9z = -6 + -9x Add '4' to each side of the equation. -4 + 4 + -9z = -6 + 4 + -9x Combine like terms: -4 + 4 = 0 0 + -9z = -6 + 4 + -9x -9z = -6 + 4 + -9x Combine like terms: -6 + 4 = -2 -9z = -2 + -9x Divide each side by '-9'. z = 0.2222222222 + x Simplifying z = 0.2222222222 + x
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