Question

combine all like terms in the proper order:
-9z - 8x - y - 3z + 10 + 4x + x + 9x + 5x + y

Explanation:

Step1: Group like terms (x, z, y, constant)

Group \(x\) terms: \(-8x + 4x + x + 9x + 5x\)
Group \(z\) terms: \(-9z - 3z\)
Group \(y\) terms: \(-y + y\)
Constant term: \(10\)

Step2: Combine \(x\) terms

\(-8x + 4x + x + 9x + 5x = (-8 + 4 + 1 + 9 + 5)x = 11x\)

Step3: Combine \(z\) terms

\(-9z - 3z = (-9 - 3)z = -12z\)

Step4: Combine \(y\) terms

\(-y + y = 0\)

Step5: Combine all results

\(11x - 12z + 0 + 10 = 11x - 12z + 10\)

Answer:

\(11x - 12z + 10\)