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Simplifying 17 + 3(z + 2) + -11z = -7(z + 2) Reorder the terms: 17 + 3(2 + z) + -11z = -7(z + 2) 17 + (2 * 3 + z * 3) + -11z = -7(z + 2) 17 + (6 + 3z) + -11z = -7(z + 2) Combine like terms: 17 + 6 = 23 23 + 3z + -11z = -7(z + 2) Combine like terms: 3z + -11z = -8z 23 + -8z = -7(z + 2) Reorder the terms: 23 + -8z = -7(2 + z) 23 + -8z = (2 * -7 + z * -7) 23 + -8z = (-14 + -7z) Solving 23 + -8z = -14 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 23 + -8z + 7z = -14 + -7z + 7z Combine like terms: -8z + 7z = -1z 23 + -1z = -14 + -7z + 7z Combine like terms: -7z + 7z = 0 23 + -1z = -14 + 0 23 + -1z = -14 Add '-23' to each side of the equation. 23 + -23 + -1z = -14 + -23 Combine like terms: 23 + -23 = 0 0 + -1z = -14 + -23 -1z = -14 + -23 Combine like terms: -14 + -23 = -37 -1z = -37 Divide each side by '-1'. z = 37 Simplifying z = 37
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