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Simplifying -1(3z + 4) = 6z + -4(3z + 2) Reorder the terms: -1(4 + 3z) = 6z + -4(3z + 2) (4 * -1 + 3z * -1) = 6z + -4(3z + 2) (-4 + -3z) = 6z + -4(3z + 2) Reorder the terms: -4 + -3z = 6z + -4(2 + 3z) -4 + -3z = 6z + (2 * -4 + 3z * -4) -4 + -3z = 6z + (-8 + -12z) Reorder the terms: -4 + -3z = -8 + 6z + -12z Combine like terms: 6z + -12z = -6z -4 + -3z = -8 + -6z Solving -4 + -3z = -8 + -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 = -8 + -6z + 6z Combine like terms: -3z + 6z = 3z -4 + 3z = -8 + -6z + 6z Combine like terms: -6z + 6z = 0 -4 + 3z = -8 + 0 -4 + 3z = -8 Add '4' to each side of the equation. -4 + 4 + 3z = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 3z = -8 + 4 3z = -8 + 4 Combine like terms: -8 + 4 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333
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