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