3(4z-7)-4(z+1)=

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Solution for 3(4z-7)-4(z+1)= equation:


Simplifying
3(4z + -7) + -4(z + 1) = 0

Reorder the terms:
3(-7 + 4z) + -4(z + 1) = 0
(-7 * 3 + 4z * 3) + -4(z + 1) = 0
(-21 + 12z) + -4(z + 1) = 0

Reorder the terms:
-21 + 12z + -4(1 + z) = 0
-21 + 12z + (1 * -4 + z * -4) = 0
-21 + 12z + (-4 + -4z) = 0

Reorder the terms:
-21 + -4 + 12z + -4z = 0

Combine like terms: -21 + -4 = -25
-25 + 12z + -4z = 0

Combine like terms: 12z + -4z = 8z
-25 + 8z = 0

Solving
-25 + 8z = 0

Solving for variable 'z'.

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

Add '25' to each side of the equation.
-25 + 25 + 8z = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 8z = 0 + 25
8z = 0 + 25

Combine like terms: 0 + 25 = 25
8z = 25

Divide each side by '8'.
z = 3.125

Simplifying
z = 3.125

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