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Simplifying 6 + 8z = -15 + z Solving 6 + 8z = -15 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 6 + 8z + -1z = -15 + z + -1z Combine like terms: 8z + -1z = 7z 6 + 7z = -15 + z + -1z Combine like terms: z + -1z = 0 6 + 7z = -15 + 0 6 + 7z = -15 Add '-6' to each side of the equation. 6 + -6 + 7z = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 7z = -15 + -6 7z = -15 + -6 Combine like terms: -15 + -6 = -21 7z = -21 Divide each side by '7'. z = -3 Simplifying z = -3
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