8(3z-2)-13z=5(12-3z)+7z

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Solution for 8(3z-2)-13z=5(12-3z)+7z equation:


Simplifying
8(3z + -2) + -13z = 5(12 + -3z) + 7z

Reorder the terms:
8(-2 + 3z) + -13z = 5(12 + -3z) + 7z
(-2 * 8 + 3z * 8) + -13z = 5(12 + -3z) + 7z
(-16 + 24z) + -13z = 5(12 + -3z) + 7z

Combine like terms: 24z + -13z = 11z
-16 + 11z = 5(12 + -3z) + 7z
-16 + 11z = (12 * 5 + -3z * 5) + 7z
-16 + 11z = (60 + -15z) + 7z

Combine like terms: -15z + 7z = -8z
-16 + 11z = 60 + -8z

Solving
-16 + 11z = 60 + -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
-16 + 11z + 8z = 60 + -8z + 8z

Combine like terms: 11z + 8z = 19z
-16 + 19z = 60 + -8z + 8z

Combine like terms: -8z + 8z = 0
-16 + 19z = 60 + 0
-16 + 19z = 60

Add '16' to each side of the equation.
-16 + 16 + 19z = 60 + 16

Combine like terms: -16 + 16 = 0
0 + 19z = 60 + 16
19z = 60 + 16

Combine like terms: 60 + 16 = 76
19z = 76

Divide each side by '19'.
z = 4

Simplifying
z = 4

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