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Simplifying 12 + 4(z + -3) = -2z + 5 Reorder the terms: 12 + 4(-3 + z) = -2z + 5 12 + (-3 * 4 + z * 4) = -2z + 5 12 + (-12 + 4z) = -2z + 5 Combine like terms: 12 + -12 = 0 0 + 4z = -2z + 5 4z = -2z + 5 Reorder the terms: 4z = 5 + -2z Solving 4z = 5 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 4z + 2z = 5 + -2z + 2z Combine like terms: 4z + 2z = 6z 6z = 5 + -2z + 2z Combine like terms: -2z + 2z = 0 6z = 5 + 0 6z = 5 Divide each side by '6'. z = 0.8333333333 Simplifying z = 0.8333333333
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