-3(3z+8)-4(2z+5)-5z=

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Solution for -3(3z+8)-4(2z+5)-5z= equation:


Simplifying
-3(3z + 8) + -4(2z + 5) + -5z = 0

Reorder the terms:
-3(8 + 3z) + -4(2z + 5) + -5z = 0
(8 * -3 + 3z * -3) + -4(2z + 5) + -5z = 0
(-24 + -9z) + -4(2z + 5) + -5z = 0

Reorder the terms:
-24 + -9z + -4(5 + 2z) + -5z = 0
-24 + -9z + (5 * -4 + 2z * -4) + -5z = 0
-24 + -9z + (-20 + -8z) + -5z = 0

Reorder the terms:
-24 + -20 + -9z + -8z + -5z = 0

Combine like terms: -24 + -20 = -44
-44 + -9z + -8z + -5z = 0

Combine like terms: -9z + -8z = -17z
-44 + -17z + -5z = 0

Combine like terms: -17z + -5z = -22z
-44 + -22z = 0

Solving
-44 + -22z = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '44' to each side of the equation.
-44 + 44 + -22z = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -22z = 0 + 44
-22z = 0 + 44

Combine like terms: 0 + 44 = 44
-22z = 44

Divide each side by '-22'.
z = -2

Simplifying
z = -2

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