(4z+7)+(8z-6)=25

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Solution for (4z+7)+(8z-6)=25 equation:


Simplifying
(4z + 7) + (8z + -6) = 25

Reorder the terms:
(7 + 4z) + (8z + -6) = 25

Remove parenthesis around (7 + 4z)
7 + 4z + (8z + -6) = 25

Reorder the terms:
7 + 4z + (-6 + 8z) = 25

Remove parenthesis around (-6 + 8z)
7 + 4z + -6 + 8z = 25

Reorder the terms:
7 + -6 + 4z + 8z = 25

Combine like terms: 7 + -6 = 1
1 + 4z + 8z = 25

Combine like terms: 4z + 8z = 12z
1 + 12z = 25

Solving
1 + 12z = 25

Solving for variable 'z'.

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

Add '-1' to each side of the equation.
1 + -1 + 12z = 25 + -1

Combine like terms: 1 + -1 = 0
0 + 12z = 25 + -1
12z = 25 + -1

Combine like terms: 25 + -1 = 24
12z = 24

Divide each side by '12'.
z = 2

Simplifying
z = 2

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