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Simplifying 3z + -3(1 + -1z) = z + -17 3z + (1 * -3 + -1z * -3) = z + -17 3z + (-3 + 3z) = z + -17 Reorder the terms: -3 + 3z + 3z = z + -17 Combine like terms: 3z + 3z = 6z -3 + 6z = z + -17 Reorder the terms: -3 + 6z = -17 + z Solving -3 + 6z = -17 + 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. -3 + 6z + -1z = -17 + z + -1z Combine like terms: 6z + -1z = 5z -3 + 5z = -17 + z + -1z Combine like terms: z + -1z = 0 -3 + 5z = -17 + 0 -3 + 5z = -17 Add '3' to each side of the equation. -3 + 3 + 5z = -17 + 3 Combine like terms: -3 + 3 = 0 0 + 5z = -17 + 3 5z = -17 + 3 Combine like terms: -17 + 3 = -14 5z = -14 Divide each side by '5'. z = -2.8 Simplifying z = -2.8
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