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Simplifying 3(-7z + -6) + 17 = -17 Reorder the terms: 3(-6 + -7z) + 17 = -17 (-6 * 3 + -7z * 3) + 17 = -17 (-18 + -21z) + 17 = -17 Reorder the terms: -18 + 17 + -21z = -17 Combine like terms: -18 + 17 = -1 -1 + -21z = -17 Solving -1 + -21z = -17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -21z = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -21z = -17 + 1 -21z = -17 + 1 Combine like terms: -17 + 1 = -16 -21z = -16 Divide each side by '-21'. z = 0.7619047619 Simplifying z = 0.7619047619
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