Solve for z -25z+1+35z=10z+1

$- 25 z + 1 + 35 z = 10 z + 1$

Add $- 25 z$ and $35 z$ .

$10 z + 1 = 10 z + 1$

Move all terms containing $z$ to the left side of the equation.

Subtract $10 z$ from both sides of the equation.

$10 z + 1 - 10 z = 1$

Combine the opposite terms in $10 z + 1 - 10 z$ .

Subtract $10 z$ from $10 z$ .

$0 + 1 = 1$

Add $0$ and $1$ .

$1 = 1$

Since $1 = 1$ , the equation will always be true for any value of $z$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$