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Simplifying 6z + 5(6 + -1z) = -1(z + -4) + 16 6z + (6 * 5 + -1z * 5) = -1(z + -4) + 16 6z + (30 + -5z) = -1(z + -4) + 16 Reorder the terms: 30 + 6z + -5z = -1(z + -4) + 16 Combine like terms: 6z + -5z = 1z 30 + 1z = -1(z + -4) + 16 Reorder the terms: 30 + 1z = -1(-4 + z) + 16 30 + 1z = (-4 * -1 + z * -1) + 16 30 + 1z = (4 + -1z) + 16 Reorder the terms: 30 + 1z = 4 + 16 + -1z Combine like terms: 4 + 16 = 20 30 + 1z = 20 + -1z Solving 30 + 1z = 20 + -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. 30 + 1z + z = 20 + -1z + z Combine like terms: 1z + z = 2z 30 + 2z = 20 + -1z + z Combine like terms: -1z + z = 0 30 + 2z = 20 + 0 30 + 2z = 20 Add '-30' to each side of the equation. 30 + -30 + 2z = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 2z = 20 + -30 2z = 20 + -30 Combine like terms: 20 + -30 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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