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Simplifying -1(3z + 4) = 6x + -3(3z + 2) Reorder the terms: -1(4 + 3z) = 6x + -3(3z + 2) (4 * -1 + 3z * -1) = 6x + -3(3z + 2) (-4 + -3z) = 6x + -3(3z + 2) Reorder the terms: -4 + -3z = 6x + -3(2 + 3z) -4 + -3z = 6x + (2 * -3 + 3z * -3) -4 + -3z = 6x + (-6 + -9z) Reorder the terms: -4 + -3z = -6 + 6x + -9z Solving -4 + -3z = -6 + 6x + -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. -4 + -3z + 9z = -6 + 6x + -9z + 9z Combine like terms: -3z + 9z = 6z -4 + 6z = -6 + 6x + -9z + 9z Combine like terms: -9z + 9z = 0 -4 + 6z = -6 + 6x + 0 -4 + 6z = -6 + 6x Add '4' to each side of the equation. -4 + 4 + 6z = -6 + 4 + 6x Combine like terms: -4 + 4 = 0 0 + 6z = -6 + 4 + 6x 6z = -6 + 4 + 6x Combine like terms: -6 + 4 = -2 6z = -2 + 6x Divide each side by '6'. z = -0.3333333333 + x Simplifying z = -0.3333333333 + x
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