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