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Simplifying 3z + 2(6 + -1z) = -1(z + -1) + 3 3z + (6 * 2 + -1z * 2) = -1(z + -1) + 3 3z + (12 + -2z) = -1(z + -1) + 3 Reorder the terms: 12 + 3z + -2z = -1(z + -1) + 3 Combine like terms: 3z + -2z = 1z 12 + 1z = -1(z + -1) + 3 Reorder the terms: 12 + 1z = -1(-1 + z) + 3 12 + 1z = (-1 * -1 + z * -1) + 3 12 + 1z = (1 + -1z) + 3 Reorder the terms: 12 + 1z = 1 + 3 + -1z Combine like terms: 1 + 3 = 4 12 + 1z = 4 + -1z Solving 12 + 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. 12 + 1z + z = 4 + -1z + z Combine like terms: 1z + z = 2z 12 + 2z = 4 + -1z + z Combine like terms: -1z + z = 0 12 + 2z = 4 + 0 12 + 2z = 4 Add '-12' to each side of the equation. 12 + -12 + 2z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 4 + -12 2z = 4 + -12 Combine like terms: 4 + -12 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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