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Simplifying 4z + -12 = -5z + 51 Reorder the terms: -12 + 4z = -5z + 51 Reorder the terms: -12 + 4z = 51 + -5z Solving -12 + 4z = 51 + -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. -12 + 4z + 5z = 51 + -5z + 5z Combine like terms: 4z + 5z = 9z -12 + 9z = 51 + -5z + 5z Combine like terms: -5z + 5z = 0 -12 + 9z = 51 + 0 -12 + 9z = 51 Add '12' to each side of the equation. -12 + 12 + 9z = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9z = 51 + 12 9z = 51 + 12 Combine like terms: 51 + 12 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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