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Simplifying 4z + 3(5 + -1z) = -1(z + -4) + 5 4z + (5 * 3 + -1z * 3) = -1(z + -4) + 5 4z + (15 + -3z) = -1(z + -4) + 5 Reorder the terms: 15 + 4z + -3z = -1(z + -4) + 5 Combine like terms: 4z + -3z = 1z 15 + 1z = -1(z + -4) + 5 Reorder the terms: 15 + 1z = -1(-4 + z) + 5 15 + 1z = (-4 * -1 + z * -1) + 5 15 + 1z = (4 + -1z) + 5 Reorder the terms: 15 + 1z = 4 + 5 + -1z Combine like terms: 4 + 5 = 9 15 + 1z = 9 + -1z Solving 15 + 1z = 9 + -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 = 9 + -1z + z Combine like terms: 1z + z = 2z 15 + 2z = 9 + -1z + z Combine like terms: -1z + z = 0 15 + 2z = 9 + 0 15 + 2z = 9 Add '-15' to each side of the equation. 15 + -15 + 2z = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = 9 + -15 2z = 9 + -15 Combine like terms: 9 + -15 = -6 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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