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Simplifying 4z + 3(4 + -1z) = -1(z + -4) + 4 4z + (4 * 3 + -1z * 3) = -1(z + -4) + 4 4z + (12 + -3z) = -1(z + -4) + 4 Reorder the terms: 12 + 4z + -3z = -1(z + -4) + 4 Combine like terms: 4z + -3z = 1z 12 + 1z = -1(z + -4) + 4 Reorder the terms: 12 + 1z = -1(-4 + z) + 4 12 + 1z = (-4 * -1 + z * -1) + 4 12 + 1z = (4 + -1z) + 4 Reorder the terms: 12 + 1z = 4 + 4 + -1z Combine like terms: 4 + 4 = 8 12 + 1z = 8 + -1z Solving 12 + 1z = 8 + -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. 12 + 1z + z = 8 + -1z + z Combine like terms: 1z + z = 2z 12 + 2z = 8 + -1z + z Combine like terms: -1z + z = 0 12 + 2z = 8 + 0 12 + 2z = 8 Add '-12' to each side of the equation. 12 + -12 + 2z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 8 + -12 2z = 8 + -12 Combine like terms: 8 + -12 = -4 2z = -4 Divide each side by '2'. z = -2 Simplifying z = -2
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