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Solve for mm. \newline−3(m+10)+6≤−6-3(m+10) + 6 \leq -6

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Q. Solve for mm. \newline−3(m+10)+6≤−6-3(m+10) + 6 \leq -6
  1. Distribute −3-3: Distribute −3-3 to (m+10)(m+10). −3(m+10)+6≤−6-3(m + 10) + 6 \leq -6 −3m−30+6≤−6-3m - 30 + 6 \leq -6
  2. Combine like terms: Combine like terms. −3m−24≤−6-3m - 24 \leq -6
  3. Isolate variable term: Isolate the variable term by adding 2424 to both sides. −3m−24+24≤−6+24-3m - 24 + 24 \leq -6 + 24 −3m≤18-3m \leq 18
  4. Solve for mm: Solve for mm by dividing both sides by −3-3. Remember to flip the inequality sign when dividing by a negative number. −3m−3≥18−3\frac{-3m}{-3} \geq \frac{18}{-3} m≥−6m \geq -6

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