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Simplifying 3z + 4 = 6z + -3x(3z + 2) Reorder the terms: 4 + 3z = 6z + -3x(3z + 2) Reorder the terms: 4 + 3z = 6z + -3x(2 + 3z) 4 + 3z = 6z + (2 * -3x + 3z * -3x) 4 + 3z = 6z + (-6x + -9xz) Reorder the terms: 4 + 3z = -6x + -9xz + 6z Solving 4 + 3z = -6x + -9xz + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9xz' to each side of the equation. 4 + 9xz + 3z = -6x + -9xz + 9xz + 6z Combine like terms: -9xz + 9xz = 0 4 + 9xz + 3z = -6x + 0 + 6z 4 + 9xz + 3z = -6x + 6z Add '-6z' to each side of the equation. 4 + 9xz + 3z + -6z = -6x + 6z + -6z Combine like terms: 3z + -6z = -3z 4 + 9xz + -3z = -6x + 6z + -6z Combine like terms: 6z + -6z = 0 4 + 9xz + -3z = -6x + 0 4 + 9xz + -3z = -6x Add '-4' to each side of the equation. 4 + 9xz + -4 + -3z = -4 + -6x Reorder the terms: 4 + -4 + 9xz + -3z = -4 + -6x Combine like terms: 4 + -4 = 0 0 + 9xz + -3z = -4 + -6x 9xz + -3z = -4 + -6x Reorder the terms: 4 + 6x + 9xz + -3z = -4 + -6x + 4 + 6x Reorder the terms: 4 + 6x + 9xz + -3z = -4 + 4 + -6x + 6x Combine like terms: -4 + 4 = 0 4 + 6x + 9xz + -3z = 0 + -6x + 6x 4 + 6x + 9xz + -3z = -6x + 6x Combine like terms: -6x + 6x = 0 4 + 6x + 9xz + -3z = 0 The solution to this equation could not be determined.
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