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Simplifying 9(z + -83) = 6(z + -44) Reorder the terms: 9(-83 + z) = 6(z + -44) (-83 * 9 + z * 9) = 6(z + -44) (-747 + 9z) = 6(z + -44) Reorder the terms: -747 + 9z = 6(-44 + z) -747 + 9z = (-44 * 6 + z * 6) -747 + 9z = (-264 + 6z) Solving -747 + 9z = -264 + 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. -747 + 9z + -6z = -264 + 6z + -6z Combine like terms: 9z + -6z = 3z -747 + 3z = -264 + 6z + -6z Combine like terms: 6z + -6z = 0 -747 + 3z = -264 + 0 -747 + 3z = -264 Add '747' to each side of the equation. -747 + 747 + 3z = -264 + 747 Combine like terms: -747 + 747 = 0 0 + 3z = -264 + 747 3z = -264 + 747 Combine like terms: -264 + 747 = 483 3z = 483 Divide each side by '3'. z = 161 Simplifying z = 161
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