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Simplifying 17 + 3(z + -2) + -11z = -7(z + 7) + 14 Reorder the terms: 17 + 3(-2 + z) + -11z = -7(z + 7) + 14 17 + (-2 * 3 + z * 3) + -11z = -7(z + 7) + 14 17 + (-6 + 3z) + -11z = -7(z + 7) + 14 Combine like terms: 17 + -6 = 11 11 + 3z + -11z = -7(z + 7) + 14 Combine like terms: 3z + -11z = -8z 11 + -8z = -7(z + 7) + 14 Reorder the terms: 11 + -8z = -7(7 + z) + 14 11 + -8z = (7 * -7 + z * -7) + 14 11 + -8z = (-49 + -7z) + 14 Reorder the terms: 11 + -8z = -49 + 14 + -7z Combine like terms: -49 + 14 = -35 11 + -8z = -35 + -7z Solving 11 + -8z = -35 + -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 = -35 + -7z + 7z Combine like terms: -8z + 7z = -1z 11 + -1z = -35 + -7z + 7z Combine like terms: -7z + 7z = 0 11 + -1z = -35 + 0 11 + -1z = -35 Add '-11' to each side of the equation. 11 + -11 + -1z = -35 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = -35 + -11 -1z = -35 + -11 Combine like terms: -35 + -11 = -46 -1z = -46 Divide each side by '-1'. z = 46 Simplifying z = 46
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