34=5a-3(2a-7)

Solution for 34=5a-3(2a-7) equation:

Simplifying
34 = 5a + -3(2a + -7)

Reorder the terms:
34 = 5a + -3(-7 + 2a)
34 = 5a + (-7 * -3 + 2a * -3)
34 = 5a + (21 + -6a)

Reorder the terms:
34 = 21 + 5a + -6a

Combine like terms: 5a + -6a = -1a
34 = 21 + -1a

Solving
34 = 21 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
34 + a = 21 + -1a + a

Combine like terms: -1a + a = 0
34 + a = 21 + 0
34 + a = 21

Add '-34' to each side of the equation.
34 + -34 + a = 21 + -34

Combine like terms: 34 + -34 = 0
0 + a = 21 + -34
a = 21 + -34

Combine like terms: 21 + -34 = -13
a = -13

Simplifying
a = -13