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Simplifying 6 + -14z = -15z + -1 Reorder the terms: 6 + -14z = -1 + -15z Solving 6 + -14z = -1 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 6 + -14z + 15z = -1 + -15z + 15z Combine like terms: -14z + 15z = 1z 6 + 1z = -1 + -15z + 15z Combine like terms: -15z + 15z = 0 6 + 1z = -1 + 0 6 + 1z = -1 Add '-6' to each side of the equation. 6 + -6 + 1z = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = -1 + -6 1z = -1 + -6 Combine like terms: -1 + -6 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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