4(5z-1)-5(z+6)=12(z+1)

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Solution for 4(5z-1)-5(z+6)=12(z+1) equation:


Simplifying
4(5z + -1) + -5(z + 6) = 12(z + 1)

Reorder the terms:
4(-1 + 5z) + -5(z + 6) = 12(z + 1)
(-1 * 4 + 5z * 4) + -5(z + 6) = 12(z + 1)
(-4 + 20z) + -5(z + 6) = 12(z + 1)

Reorder the terms:
-4 + 20z + -5(6 + z) = 12(z + 1)
-4 + 20z + (6 * -5 + z * -5) = 12(z + 1)
-4 + 20z + (-30 + -5z) = 12(z + 1)

Reorder the terms:
-4 + -30 + 20z + -5z = 12(z + 1)

Combine like terms: -4 + -30 = -34
-34 + 20z + -5z = 12(z + 1)

Combine like terms: 20z + -5z = 15z
-34 + 15z = 12(z + 1)

Reorder the terms:
-34 + 15z = 12(1 + z)
-34 + 15z = (1 * 12 + z * 12)
-34 + 15z = (12 + 12z)

Solving
-34 + 15z = 12 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
-34 + 15z + -12z = 12 + 12z + -12z

Combine like terms: 15z + -12z = 3z
-34 + 3z = 12 + 12z + -12z

Combine like terms: 12z + -12z = 0
-34 + 3z = 12 + 0
-34 + 3z = 12

Add '34' to each side of the equation.
-34 + 34 + 3z = 12 + 34

Combine like terms: -34 + 34 = 0
0 + 3z = 12 + 34
3z = 12 + 34

Combine like terms: 12 + 34 = 46
3z = 46

Divide each side by '3'.
z = 15.33333333

Simplifying
z = 15.33333333

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