5+3z-4=8z+15-3z

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Solution for 5+3z-4=8z+15-3z equation:


Simplifying
5 + 3z + -4 = 8z + 15 + -3z

Reorder the terms:
5 + -4 + 3z = 8z + 15 + -3z

Combine like terms: 5 + -4 = 1
1 + 3z = 8z + 15 + -3z

Reorder the terms:
1 + 3z = 15 + 8z + -3z

Combine like terms: 8z + -3z = 5z
1 + 3z = 15 + 5z

Solving
1 + 3z = 15 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
1 + 3z + -5z = 15 + 5z + -5z

Combine like terms: 3z + -5z = -2z
1 + -2z = 15 + 5z + -5z

Combine like terms: 5z + -5z = 0
1 + -2z = 15 + 0
1 + -2z = 15

Add '-1' to each side of the equation.
1 + -1 + -2z = 15 + -1

Combine like terms: 1 + -1 = 0
0 + -2z = 15 + -1
-2z = 15 + -1

Combine like terms: 15 + -1 = 14
-2z = 14

Divide each side by '-2'.
z = -7

Simplifying
z = -7

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