3(5z-1)-2=13z+3

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Solution for 3(5z-1)-2=13z+3 equation:


Simplifying
3(5z + -1) + -2 = 13z + 3

Reorder the terms:
3(-1 + 5z) + -2 = 13z + 3
(-1 * 3 + 5z * 3) + -2 = 13z + 3
(-3 + 15z) + -2 = 13z + 3

Reorder the terms:
-3 + -2 + 15z = 13z + 3

Combine like terms: -3 + -2 = -5
-5 + 15z = 13z + 3

Reorder the terms:
-5 + 15z = 3 + 13z

Solving
-5 + 15z = 3 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
-5 + 15z + -13z = 3 + 13z + -13z

Combine like terms: 15z + -13z = 2z
-5 + 2z = 3 + 13z + -13z

Combine like terms: 13z + -13z = 0
-5 + 2z = 3 + 0
-5 + 2z = 3

Add '5' to each side of the equation.
-5 + 5 + 2z = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 2z = 3 + 5
2z = 3 + 5

Combine like terms: 3 + 5 = 8
2z = 8

Divide each side by '2'.
z = 4

Simplifying
z = 4

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