• Math

  Algebra

  Posted by Yuliana YM on July 19, 2024 at 5:27 pm

  Simplify: 4(z – 1) + (5z + 2) – 3(z – 4)

  Rhona Acosta replied 9 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Rhona Acosta

  Member

  July 22, 2024 at 2:05 pm

  To simplify the expression \( 4(z – 1) + (5z + 2) – 3(z – 4) \), follow these steps:

  1. Distribute the terms:

  – Distribute \( 4 \) in \( 4(z – 1) \):

  \[ 4(z – 1) = 4z – 4 \]

  – Distribute \( -3 \) in \( -3(z – 4) \):

  \[ -3(z – 4) = -3z + 12 \]

  2. Combine like terms:

  – Combine the terms involving \( z \):

  \[ 4z + 5z – 3z = 6z \]

  – Combine the constant terms:

  \[ -4 + 2 + 12 = 10 \]

  3. Put it all together

  – Combine the simplified terms:

  \[ 6z + 10 \]

  Therefore, the simplified form of the expression \( 4(z – 1) + (5z + 2) – 3(z – 4) \) is \( \boxed{6z + 10} \).

  • This reply was modified 9 months ago by  Rhona Acosta.

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