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