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Simplifying z + 2(z + -6) + -2 = -17 Reorder the terms: z + 2(-6 + z) + -2 = -17 z + (-6 * 2 + z * 2) + -2 = -17 z + (-12 + 2z) + -2 = -17 Reorder the terms: -12 + -2 + z + 2z = -17 Combine like terms: -12 + -2 = -14 -14 + z + 2z = -17 Combine like terms: z + 2z = 3z -14 + 3z = -17 Solving -14 + 3z = -17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3z = -17 + 14 Combine like terms: -14 + 14 = 0 0 + 3z = -17 + 14 3z = -17 + 14 Combine like terms: -17 + 14 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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