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Simplifying 6z + 5(4 + -1z) = -1(z + -4) + 8 6z + (4 * 5 + -1z * 5) = -1(z + -4) + 8 6z + (20 + -5z) = -1(z + -4) + 8 Reorder the terms: 20 + 6z + -5z = -1(z + -4) + 8 Combine like terms: 6z + -5z = 1z 20 + 1z = -1(z + -4) + 8 Reorder the terms: 20 + 1z = -1(-4 + z) + 8 20 + 1z = (-4 * -1 + z * -1) + 8 20 + 1z = (4 + -1z) + 8 Reorder the terms: 20 + 1z = 4 + 8 + -1z Combine like terms: 4 + 8 = 12 20 + 1z = 12 + -1z Solving 20 + 1z = 12 + -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. 20 + 1z + z = 12 + -1z + z Combine like terms: 1z + z = 2z 20 + 2z = 12 + -1z + z Combine like terms: -1z + z = 0 20 + 2z = 12 + 0 20 + 2z = 12 Add '-20' to each side of the equation. 20 + -20 + 2z = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 2z = 12 + -20 2z = 12 + -20 Combine like terms: 12 + -20 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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