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Simplifying 17 + 3(z + -2) + -11z = 7(z + 2) + 14 Reorder the terms: 17 + 3(-2 + z) + -11z = 7(z + 2) + 14 17 + (-2 * 3 + z * 3) + -11z = 7(z + 2) + 14 17 + (-6 + 3z) + -11z = 7(z + 2) + 14 Combine like terms: 17 + -6 = 11 11 + 3z + -11z = 7(z + 2) + 14 Combine like terms: 3z + -11z = -8z 11 + -8z = 7(z + 2) + 14 Reorder the terms: 11 + -8z = 7(2 + z) + 14 11 + -8z = (2 * 7 + z * 7) + 14 11 + -8z = (14 + 7z) + 14 Reorder the terms: 11 + -8z = 14 + 14 + 7z Combine like terms: 14 + 14 = 28 11 + -8z = 28 + 7z Solving 11 + -8z = 28 + 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. 11 + -8z + -7z = 28 + 7z + -7z Combine like terms: -8z + -7z = -15z 11 + -15z = 28 + 7z + -7z Combine like terms: 7z + -7z = 0 11 + -15z = 28 + 0 11 + -15z = 28 Add '-11' to each side of the equation. 11 + -11 + -15z = 28 + -11 Combine like terms: 11 + -11 = 0 0 + -15z = 28 + -11 -15z = 28 + -11 Combine like terms: 28 + -11 = 17 -15z = 17 Divide each side by '-15'. z = -1.133333333 Simplifying z = -1.133333333
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