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Simplifying 6z + 6 + -4(z + 1) = -1(3z + -1) Reorder the terms: 6z + 6 + -4(1 + z) = -1(3z + -1) 6z + 6 + (1 * -4 + z * -4) = -1(3z + -1) 6z + 6 + (-4 + -4z) = -1(3z + -1) Reorder the terms: 6 + -4 + 6z + -4z = -1(3z + -1) Combine like terms: 6 + -4 = 2 2 + 6z + -4z = -1(3z + -1) Combine like terms: 6z + -4z = 2z 2 + 2z = -1(3z + -1) Reorder the terms: 2 + 2z = -1(-1 + 3z) 2 + 2z = (-1 * -1 + 3z * -1) 2 + 2z = (1 + -3z) Solving 2 + 2z = 1 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2 + 2z + 3z = 1 + -3z + 3z Combine like terms: 2z + 3z = 5z 2 + 5z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 5z = 1 + 0 2 + 5z = 1 Add '-2' to each side of the equation. 2 + -2 + 5z = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 1 + -2 5z = 1 + -2 Combine like terms: 1 + -2 = -1 5z = -1 Divide each side by '5'. z = -0.2 Simplifying z = -0.2
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