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Simplifying 17 + 3(z + -20) + -11z = -7(z + 2) + 14 Reorder the terms: 17 + 3(-20 + z) + -11z = -7(z + 2) + 14 17 + (-20 * 3 + z * 3) + -11z = -7(z + 2) + 14 17 + (-60 + 3z) + -11z = -7(z + 2) + 14 Combine like terms: 17 + -60 = -43 -43 + 3z + -11z = -7(z + 2) + 14 Combine like terms: 3z + -11z = -8z -43 + -8z = -7(z + 2) + 14 Reorder the terms: -43 + -8z = -7(2 + z) + 14 -43 + -8z = (2 * -7 + z * -7) + 14 -43 + -8z = (-14 + -7z) + 14 Reorder the terms: -43 + -8z = -14 + 14 + -7z Combine like terms: -14 + 14 = 0 -43 + -8z = 0 + -7z -43 + -8z = -7z Solving -43 + -8z = -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. -43 + -8z + 7z = -7z + 7z Combine like terms: -8z + 7z = -1z -43 + -1z = -7z + 7z Combine like terms: -7z + 7z = 0 -43 + -1z = 0 Add '43' to each side of the equation. -43 + 43 + -1z = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -1z = 0 + 43 -1z = 0 + 43 Combine like terms: 0 + 43 = 43 -1z = 43 Divide each side by '-1'. z = -43 Simplifying z = -43
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