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Simplifying 12z + -3 = 13z + 3 Reorder the terms: -3 + 12z = 13z + 3 Reorder the terms: -3 + 12z = 3 + 13z Solving -3 + 12z = 3 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -3 + 12z + -13z = 3 + 13z + -13z Combine like terms: 12z + -13z = -1z -3 + -1z = 3 + 13z + -13z Combine like terms: 13z + -13z = 0 -3 + -1z = 3 + 0 -3 + -1z = 3 Add '3' to each side of the equation. -3 + 3 + -1z = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = 3 + 3 -1z = 3 + 3 Combine like terms: 3 + 3 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6
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