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Simplifying 12 + 4(z + -3) = 5z + 8 Reorder the terms: 12 + 4(-3 + z) = 5z + 8 12 + (-3 * 4 + z * 4) = 5z + 8 12 + (-12 + 4z) = 5z + 8 Combine like terms: 12 + -12 = 0 0 + 4z = 5z + 8 4z = 5z + 8 Reorder the terms: 4z = 8 + 5z Solving 4z = 8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4z + -5z = 8 + 5z + -5z Combine like terms: 4z + -5z = -1z -1z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 -1z = 8 + 0 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8
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