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Simplifying 12z + -3z + 11 = 4z + -1(17 + -9z) Reorder the terms: 11 + 12z + -3z = 4z + -1(17 + -9z) Combine like terms: 12z + -3z = 9z 11 + 9z = 4z + -1(17 + -9z) 11 + 9z = 4z + (17 * -1 + -9z * -1) 11 + 9z = 4z + (-17 + 9z) Reorder the terms: 11 + 9z = -17 + 4z + 9z Combine like terms: 4z + 9z = 13z 11 + 9z = -17 + 13z Solving 11 + 9z = -17 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 11 + 9z + -13z = -17 + 13z + -13z Combine like terms: 9z + -13z = -4z 11 + -4z = -17 + 13z + -13z Combine like terms: 13z + -13z = 0 11 + -4z = -17 + 0 11 + -4z = -17 Add '-11' to each side of the equation. 11 + -11 + -4z = -17 + -11 Combine like terms: 11 + -11 = 0 0 + -4z = -17 + -11 -4z = -17 + -11 Combine like terms: -17 + -11 = -28 -4z = -28 Divide each side by '-4'. z = 7 Simplifying z = 7
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