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