3(4z-1)-5(z+9)=4(z+1)

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Solution for 3(4z-1)-5(z+9)=4(z+1) equation:


Simplifying
3(4z + -1) + -5(z + 9) = 4(z + 1)

Reorder the terms:
3(-1 + 4z) + -5(z + 9) = 4(z + 1)
(-1 * 3 + 4z * 3) + -5(z + 9) = 4(z + 1)
(-3 + 12z) + -5(z + 9) = 4(z + 1)

Reorder the terms:
-3 + 12z + -5(9 + z) = 4(z + 1)
-3 + 12z + (9 * -5 + z * -5) = 4(z + 1)
-3 + 12z + (-45 + -5z) = 4(z + 1)

Reorder the terms:
-3 + -45 + 12z + -5z = 4(z + 1)

Combine like terms: -3 + -45 = -48
-48 + 12z + -5z = 4(z + 1)

Combine like terms: 12z + -5z = 7z
-48 + 7z = 4(z + 1)

Reorder the terms:
-48 + 7z = 4(1 + z)
-48 + 7z = (1 * 4 + z * 4)
-48 + 7z = (4 + 4z)

Solving
-48 + 7z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-48 + 7z + -4z = 4 + 4z + -4z

Combine like terms: 7z + -4z = 3z
-48 + 3z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-48 + 3z = 4 + 0
-48 + 3z = 4

Add '48' to each side of the equation.
-48 + 48 + 3z = 4 + 48

Combine like terms: -48 + 48 = 0
0 + 3z = 4 + 48
3z = 4 + 48

Combine like terms: 4 + 48 = 52
3z = 52

Divide each side by '3'.
z = 17.33333333

Simplifying
z = 17.33333333

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