3(2z-1)+4(2+3)=5(2z-1)+4(3z-1)

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Solution for 3(2z-1)+4(2+3)=5(2z-1)+4(3z-1) equation: 


Simplifying
3(2z + -1) + 4(2 + 3) = 5(2z + -1) + 4(3z + -1)

Reorder the terms:
3(-1 + 2z) + 4(2 + 3) = 5(2z + -1) + 4(3z + -1)
(-1 * 3 + 2z * 3) + 4(2 + 3) = 5(2z + -1) + 4(3z + -1)
(-3 + 6z) + 4(2 + 3) = 5(2z + -1) + 4(3z + -1)

Combine like terms: 2 + 3 = 5
-3 + 6z + 4(5) = 5(2z + -1) + 4(3z + -1)

Multiply 4 * 5
-3 + 6z + 20 = 5(2z + -1) + 4(3z + -1)

Reorder the terms:
-3 + 20 + 6z = 5(2z + -1) + 4(3z + -1)

Combine like terms: -3 + 20 = 17
17 + 6z = 5(2z + -1) + 4(3z + -1)

Reorder the terms:
17 + 6z = 5(-1 + 2z) + 4(3z + -1)
17 + 6z = (-1 * 5 + 2z * 5) + 4(3z + -1)
17 + 6z = (-5 + 10z) + 4(3z + -1)

Reorder the terms:
17 + 6z = -5 + 10z + 4(-1 + 3z)
17 + 6z = -5 + 10z + (-1 * 4 + 3z * 4)
17 + 6z = -5 + 10z + (-4 + 12z)

Reorder the terms:
17 + 6z = -5 + -4 + 10z + 12z

Combine like terms: -5 + -4 = -9
17 + 6z = -9 + 10z + 12z

Combine like terms: 10z + 12z = 22z
17 + 6z = -9 + 22z

Solving
17 + 6z = -9 + 22z

Solving for variable 'z'.

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

Add '-22z' to each side of the equation.
17 + 6z + -22z = -9 + 22z + -22z

Combine like terms: 6z + -22z = -16z
17 + -16z = -9 + 22z + -22z

Combine like terms: 22z + -22z = 0
17 + -16z = -9 + 0
17 + -16z = -9

Add '-17' to each side of the equation.
17 + -17 + -16z = -9 + -17

Combine like terms: 17 + -17 = 0
0 + -16z = -9 + -17
-16z = -9 + -17

Combine like terms: -9 + -17 = -26
-16z = -26

Divide each side by '-16'.
z = 1.625

Simplifying
z = 1.625

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