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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 = -1z 11 + -1z = 28 + -7z + 7z Combine like terms: -7z + 7z = 0 11 + -1z = 28 + 0 11 + -1z = 28 Add '-11' to each side of the equation. 11 + -11 + -1z = 28 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = 28 + -11 -1z = 28 + -11 Combine like terms: 28 + -11 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17
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