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Simplifying 5z + 12 = 2z + -6 + 4z + -3 Reorder the terms: 12 + 5z = 2z + -6 + 4z + -3 Reorder the terms: 12 + 5z = -6 + -3 + 2z + 4z Combine like terms: -6 + -3 = -9 12 + 5z = -9 + 2z + 4z Combine like terms: 2z + 4z = 6z 12 + 5z = -9 + 6z Solving 12 + 5z = -9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + 5z + -6z = -9 + 6z + -6z Combine like terms: 5z + -6z = -1z 12 + -1z = -9 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -1z = -9 + 0 12 + -1z = -9 Add '-12' to each side of the equation. 12 + -12 + -1z = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = -9 + -12 -1z = -9 + -12 Combine like terms: -9 + -12 = -21 -1z = -21 Divide each side by '-1'. z = 21 Simplifying z = 21
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