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Simplifying 15z + -7 = 14z + 12 Reorder the terms: -7 + 15z = 14z + 12 Reorder the terms: -7 + 15z = 12 + 14z Solving -7 + 15z = 12 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -7 + 15z + -14z = 12 + 14z + -14z Combine like terms: 15z + -14z = 1z -7 + 1z = 12 + 14z + -14z Combine like terms: 14z + -14z = 0 -7 + 1z = 12 + 0 -7 + 1z = 12 Add '7' to each side of the equation. -7 + 7 + 1z = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 12 + 7 1z = 12 + 7 Combine like terms: 12 + 7 = 19 1z = 19 Divide each side by '1'. z = 19 Simplifying z = 19
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