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Simplifying 5z + 4(4 + -1z) = -1(z + -2) + 2 5z + (4 * 4 + -1z * 4) = -1(z + -2) + 2 5z + (16 + -4z) = -1(z + -2) + 2 Reorder the terms: 16 + 5z + -4z = -1(z + -2) + 2 Combine like terms: 5z + -4z = 1z 16 + 1z = -1(z + -2) + 2 Reorder the terms: 16 + 1z = -1(-2 + z) + 2 16 + 1z = (-2 * -1 + z * -1) + 2 16 + 1z = (2 + -1z) + 2 Reorder the terms: 16 + 1z = 2 + 2 + -1z Combine like terms: 2 + 2 = 4 16 + 1z = 4 + -1z Solving 16 + 1z = 4 + -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. 16 + 1z + z = 4 + -1z + z Combine like terms: 1z + z = 2z 16 + 2z = 4 + -1z + z Combine like terms: -1z + z = 0 16 + 2z = 4 + 0 16 + 2z = 4 Add '-16' to each side of the equation. 16 + -16 + 2z = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 2z = 4 + -16 2z = 4 + -16 Combine like terms: 4 + -16 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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