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Simplifying 8z + -13 = -6 + z Reorder the terms: -13 + 8z = -6 + z Solving -13 + 8z = -6 + 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. -13 + 8z + -1z = -6 + z + -1z Combine like terms: 8z + -1z = 7z -13 + 7z = -6 + z + -1z Combine like terms: z + -1z = 0 -13 + 7z = -6 + 0 -13 + 7z = -6 Add '13' to each side of the equation. -13 + 13 + 7z = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 7z = -6 + 13 7z = -6 + 13 Combine like terms: -6 + 13 = 7 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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