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Simplifying 2z + -3(z + 1) = -1(5z + -3) + a Reorder the terms: 2z + -3(1 + z) = -1(5z + -3) + a 2z + (1 * -3 + z * -3) = -1(5z + -3) + a 2z + (-3 + -3z) = -1(5z + -3) + a Reorder the terms: -3 + 2z + -3z = -1(5z + -3) + a Combine like terms: 2z + -3z = -1z -3 + -1z = -1(5z + -3) + a Reorder the terms: -3 + -1z = -1(-3 + 5z) + a -3 + -1z = (-3 * -1 + 5z * -1) + a -3 + -1z = (3 + -5z) + a Reorder the terms: -3 + -1z = 3 + a + -5z Solving -3 + -1z = 3 + a + -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. -3 + -1z + 5z = 3 + a + -5z + 5z Combine like terms: -1z + 5z = 4z -3 + 4z = 3 + a + -5z + 5z Combine like terms: -5z + 5z = 0 -3 + 4z = 3 + a + 0 -3 + 4z = 3 + a Add '3' to each side of the equation. -3 + 3 + 4z = 3 + 3 + a Combine like terms: -3 + 3 = 0 0 + 4z = 3 + 3 + a 4z = 3 + 3 + a Combine like terms: 3 + 3 = 6 4z = 6 + a Divide each side by '4'. z = 1.5 + 0.25a Simplifying z = 1.5 + 0.25a
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