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Simplifying 2z + -4(z + 1) = -1(6z + 4) + z Reorder the terms: 2z + -4(1 + z) = -1(6z + 4) + z 2z + (1 * -4 + z * -4) = -1(6z + 4) + z 2z + (-4 + -4z) = -1(6z + 4) + z Reorder the terms: -4 + 2z + -4z = -1(6z + 4) + z Combine like terms: 2z + -4z = -2z -4 + -2z = -1(6z + 4) + z Reorder the terms: -4 + -2z = -1(4 + 6z) + z -4 + -2z = (4 * -1 + 6z * -1) + z -4 + -2z = (-4 + -6z) + z Combine like terms: -6z + z = -5z -4 + -2z = -4 + -5z Add '4' to each side of the equation. -4 + 4 + -2z = -4 + 4 + -5z Combine like terms: -4 + 4 = 0 0 + -2z = -4 + 4 + -5z -2z = -4 + 4 + -5z Combine like terms: -4 + 4 = 0 -2z = 0 + -5z -2z = -5z Solving -2z = -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. -2z + 5z = -5z + 5z Combine like terms: -2z + 5z = 3z 3z = -5z + 5z Combine like terms: -5z + 5z = 0 3z = 0 Divide each side by '3'. z = 0 Simplifying z = 0
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