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Simplifying (2z + -7) + -3(3z + 8) = 4z + -9 Reorder the terms: (-7 + 2z) + -3(3z + 8) = 4z + -9 Remove parenthesis around (-7 + 2z) -7 + 2z + -3(3z + 8) = 4z + -9 Reorder the terms: -7 + 2z + -3(8 + 3z) = 4z + -9 -7 + 2z + (8 * -3 + 3z * -3) = 4z + -9 -7 + 2z + (-24 + -9z) = 4z + -9 Reorder the terms: -7 + -24 + 2z + -9z = 4z + -9 Combine like terms: -7 + -24 = -31 -31 + 2z + -9z = 4z + -9 Combine like terms: 2z + -9z = -7z -31 + -7z = 4z + -9 Reorder the terms: -31 + -7z = -9 + 4z Solving -31 + -7z = -9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -31 + -7z + -4z = -9 + 4z + -4z Combine like terms: -7z + -4z = -11z -31 + -11z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 -31 + -11z = -9 + 0 -31 + -11z = -9 Add '31' to each side of the equation. -31 + 31 + -11z = -9 + 31 Combine like terms: -31 + 31 = 0 0 + -11z = -9 + 31 -11z = -9 + 31 Combine like terms: -9 + 31 = 22 -11z = 22 Divide each side by '-11'. z = -2 Simplifying z = -2
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