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Simplifying 15z + -7 = 6z + -58 Reorder the terms: -7 + 15z = 6z + -58 Reorder the terms: -7 + 15z = -58 + 6z Solving -7 + 15z = -58 + 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. -7 + 15z + -6z = -58 + 6z + -6z Combine like terms: 15z + -6z = 9z -7 + 9z = -58 + 6z + -6z Combine like terms: 6z + -6z = 0 -7 + 9z = -58 + 0 -7 + 9z = -58 Add '7' to each side of the equation. -7 + 7 + 9z = -58 + 7 Combine like terms: -7 + 7 = 0 0 + 9z = -58 + 7 9z = -58 + 7 Combine like terms: -58 + 7 = -51 9z = -51 Divide each side by '9'. z = -5.666666667 Simplifying z = -5.666666667
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