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Simplifying 12 + 4(z + -3) + 3z + 5 = 0 Reorder the terms: 12 + 4(-3 + z) + 3z + 5 = 0 12 + (-3 * 4 + z * 4) + 3z + 5 = 0 12 + (-12 + 4z) + 3z + 5 = 0 Reorder the terms: 12 + -12 + 5 + 4z + 3z = 0 Combine like terms: 12 + -12 = 0 0 + 5 + 4z + 3z = 0 5 + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 5 + 7z = 0 Solving 5 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7z = 0 + -5 7z = 0 + -5 Combine like terms: 0 + -5 = -5 7z = -5 Divide each side by '7'. z = -0.7142857143 Simplifying z = -0.7142857143
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