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Simplifying 4z + 3(5 + -1z) = -1(z + -3) + 2 4z + (5 * 3 + -1z * 3) = -1(z + -3) + 2 4z + (15 + -3z) = -1(z + -3) + 2 Reorder the terms: 15 + 4z + -3z = -1(z + -3) + 2 Combine like terms: 4z + -3z = 1z 15 + 1z = -1(z + -3) + 2 Reorder the terms: 15 + 1z = -1(-3 + z) + 2 15 + 1z = (-3 * -1 + z * -1) + 2 15 + 1z = (3 + -1z) + 2 Reorder the terms: 15 + 1z = 3 + 2 + -1z Combine like terms: 3 + 2 = 5 15 + 1z = 5 + -1z Solving 15 + 1z = 5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 15 + 1z + z = 5 + -1z + z Combine like terms: 1z + z = 2z 15 + 2z = 5 + -1z + z Combine like terms: -1z + z = 0 15 + 2z = 5 + 0 15 + 2z = 5 Add '-15' to each side of the equation. 15 + -15 + 2z = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = 5 + -15 2z = 5 + -15 Combine like terms: 5 + -15 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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