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Simplifying 51 = 6z + -15 Reorder the terms: 51 = -15 + 6z Solving 51 = -15 + 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. 51 + -6z = -15 + 6z + -6z Combine like terms: 6z + -6z = 0 51 + -6z = -15 + 0 51 + -6z = -15 Add '-51' to each side of the equation. 51 + -51 + -6z = -15 + -51 Combine like terms: 51 + -51 = 0 0 + -6z = -15 + -51 -6z = -15 + -51 Combine like terms: -15 + -51 = -66 -6z = -66 Divide each side by '-6'. z = 11 Simplifying z = 11
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