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Simplifying 2z + -3(2 + 1) = -1(5z + 3) + z Combine like terms: 2 + 1 = 3 2z + -3(3) = -1(5z + 3) + z Multiply -3 * 3 2z + -9 = -1(5z + 3) + z Reorder the terms: -9 + 2z = -1(5z + 3) + z Reorder the terms: -9 + 2z = -1(3 + 5z) + z -9 + 2z = (3 * -1 + 5z * -1) + z -9 + 2z = (-3 + -5z) + z Combine like terms: -5z + z = -4z -9 + 2z = -3 + -4z Solving -9 + 2z = -3 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -9 + 2z + 4z = -3 + -4z + 4z Combine like terms: 2z + 4z = 6z -9 + 6z = -3 + -4z + 4z Combine like terms: -4z + 4z = 0 -9 + 6z = -3 + 0 -9 + 6z = -3 Add '9' to each side of the equation. -9 + 9 + 6z = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 6z = -3 + 9 6z = -3 + 9 Combine like terms: -3 + 9 = 6 6z = 6 Divide each side by '6'. z = 1 Simplifying z = 1
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