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Simplifying -3(z + 3) + 2 = 8z + 4 Reorder the terms: -3(3 + z) + 2 = 8z + 4 (3 * -3 + z * -3) + 2 = 8z + 4 (-9 + -3z) + 2 = 8z + 4 Reorder the terms: -9 + 2 + -3z = 8z + 4 Combine like terms: -9 + 2 = -7 -7 + -3z = 8z + 4 Reorder the terms: -7 + -3z = 4 + 8z Solving -7 + -3z = 4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -7 + -3z + -8z = 4 + 8z + -8z Combine like terms: -3z + -8z = -11z -7 + -11z = 4 + 8z + -8z Combine like terms: 8z + -8z = 0 -7 + -11z = 4 + 0 -7 + -11z = 4 Add '7' to each side of the equation. -7 + 7 + -11z = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -11z = 4 + 7 -11z = 4 + 7 Combine like terms: 4 + 7 = 11 -11z = 11 Divide each side by '-11'. z = -1 Simplifying z = -1
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