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Simplifying -2(z + 3) = -1z + -4(z + 2) Reorder the terms: -2(3 + z) = -1z + -4(z + 2) (3 * -2 + z * -2) = -1z + -4(z + 2) (-6 + -2z) = -1z + -4(z + 2) Reorder the terms: -6 + -2z = -1z + -4(2 + z) -6 + -2z = -1z + (2 * -4 + z * -4) -6 + -2z = -1z + (-8 + -4z) Reorder the terms: -6 + -2z = -8 + -1z + -4z Combine like terms: -1z + -4z = -5z -6 + -2z = -8 + -5z Solving -6 + -2z = -8 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -6 + -2z + 5z = -8 + -5z + 5z Combine like terms: -2z + 5z = 3z -6 + 3z = -8 + -5z + 5z Combine like terms: -5z + 5z = 0 -6 + 3z = -8 + 0 -6 + 3z = -8 Add '6' to each side of the equation. -6 + 6 + 3z = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 3z = -8 + 6 3z = -8 + 6 Combine like terms: -8 + 6 = -2 3z = -2 Divide each side by '3'. z = -0.6666666667 Simplifying z = -0.6666666667
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