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Simplifying 5z + -1(2z + 3) = -12 Reorder the terms: 5z + -1(3 + 2z) = -12 5z + (3 * -1 + 2z * -1) = -12 5z + (-3 + -2z) = -12 Reorder the terms: -3 + 5z + -2z = -12 Combine like terms: 5z + -2z = 3z -3 + 3z = -12 Solving -3 + 3z = -12 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 = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 3z = -12 + 3 3z = -12 + 3 Combine like terms: -12 + 3 = -9 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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