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Simplifying 51 = 4z + 7 Reorder the terms: 51 = 7 + 4z Solving 51 = 7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 51 + -4z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 51 + -4z = 7 + 0 51 + -4z = 7 Add '-51' to each side of the equation. 51 + -51 + -4z = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -4z = 7 + -51 -4z = 7 + -51 Combine like terms: 7 + -51 = -44 -4z = -44 Divide each side by '-4'. z = 11 Simplifying z = 11
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