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Simplifying (z + 8) + -1z + -1(5 + -6z) = 15 Reorder the terms: (8 + z) + -1z + -1(5 + -6z) = 15 Remove parenthesis around (8 + z) 8 + z + -1z + -1(5 + -6z) = 15 8 + z + -1z + (5 * -1 + -6z * -1) = 15 8 + z + -1z + (-5 + 6z) = 15 Reorder the terms: 8 + -5 + z + -1z + 6z = 15 Combine like terms: 8 + -5 = 3 3 + z + -1z + 6z = 15 Combine like terms: z + -1z = 0 3 + 0 + 6z = 15 3 + 6z = 15 Solving 3 + 6z = 15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 6z = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6z = 15 + -3 6z = 15 + -3 Combine like terms: 15 + -3 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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