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Simplifying -4(z + 4) + 9 = 6z + 33 Reorder the terms: -4(4 + z) + 9 = 6z + 33 (4 * -4 + z * -4) + 9 = 6z + 33 (-16 + -4z) + 9 = 6z + 33 Reorder the terms: -16 + 9 + -4z = 6z + 33 Combine like terms: -16 + 9 = -7 -7 + -4z = 6z + 33 Reorder the terms: -7 + -4z = 33 + 6z Solving -7 + -4z = 33 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -7 + -4z + -6z = 33 + 6z + -6z Combine like terms: -4z + -6z = -10z -7 + -10z = 33 + 6z + -6z Combine like terms: 6z + -6z = 0 -7 + -10z = 33 + 0 -7 + -10z = 33 Add '7' to each side of the equation. -7 + 7 + -10z = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -10z = 33 + 7 -10z = 33 + 7 Combine like terms: 33 + 7 = 40 -10z = 40 Divide each side by '-10'. z = -4 Simplifying z = -4
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