42-14a=-15a+1

Solution for 42-14a=-15a+1 equation:

Simplifying
42 + -14a = -15a + 1

Reorder the terms:
42 + -14a = 1 + -15a

Solving
42 + -14a = 1 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
42 + -14a + 15a = 1 + -15a + 15a

Combine like terms: -14a + 15a = 1a
42 + 1a = 1 + -15a + 15a

Combine like terms: -15a + 15a = 0
42 + 1a = 1 + 0
42 + 1a = 1

Add '-42' to each side of the equation.
42 + -42 + 1a = 1 + -42

Combine like terms: 42 + -42 = 0
0 + 1a = 1 + -42
1a = 1 + -42

Combine like terms: 1 + -42 = -41
1a = -41

Divide each side by '1'.
a = -41

Simplifying
a = -41