3(4z+7)-4(5z-9)-16z=

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Solution for 3(4z+7)-4(5z-9)-16z= equation: 


Simplifying
3(4z + 7) + -4(5z + -9) + -16z = 0

Reorder the terms:
3(7 + 4z) + -4(5z + -9) + -16z = 0
(7 * 3 + 4z * 3) + -4(5z + -9) + -16z = 0
(21 + 12z) + -4(5z + -9) + -16z = 0

Reorder the terms:
21 + 12z + -4(-9 + 5z) + -16z = 0
21 + 12z + (-9 * -4 + 5z * -4) + -16z = 0
21 + 12z + (36 + -20z) + -16z = 0

Reorder the terms:
21 + 36 + 12z + -20z + -16z = 0

Combine like terms: 21 + 36 = 57
57 + 12z + -20z + -16z = 0

Combine like terms: 12z + -20z = -8z
57 + -8z + -16z = 0

Combine like terms: -8z + -16z = -24z
57 + -24z = 0

Solving
57 + -24z = 0

Solving for variable 'z'.

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

Add '-57' to each side of the equation.
57 + -57 + -24z = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -24z = 0 + -57
-24z = 0 + -57

Combine like terms: 0 + -57 = -57
-24z = -57

Divide each side by '-24'.
z = 2.375

Simplifying
z = 2.375

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