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Simplifying -3(z + 4) + 7 = 8z + 39 Reorder the terms: -3(4 + z) + 7 = 8z + 39 (4 * -3 + z * -3) + 7 = 8z + 39 (-12 + -3z) + 7 = 8z + 39 Reorder the terms: -12 + 7 + -3z = 8z + 39 Combine like terms: -12 + 7 = -5 -5 + -3z = 8z + 39 Reorder the terms: -5 + -3z = 39 + 8z Solving -5 + -3z = 39 + 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. -5 + -3z + -8z = 39 + 8z + -8z Combine like terms: -3z + -8z = -11z -5 + -11z = 39 + 8z + -8z Combine like terms: 8z + -8z = 0 -5 + -11z = 39 + 0 -5 + -11z = 39 Add '5' to each side of the equation. -5 + 5 + -11z = 39 + 5 Combine like terms: -5 + 5 = 0 0 + -11z = 39 + 5 -11z = 39 + 5 Combine like terms: 39 + 5 = 44 -11z = 44 Divide each side by '-11'. z = -4 Simplifying z = -4
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