34=(a-3)+(a-4)

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Solution for 34=(a-3)+(a-4) equation:


Simplifying
34 = (a + -3) + (a + -4)

Reorder the terms:
34 = (-3 + a) + (a + -4)

Remove parenthesis around (-3 + a)
34 = -3 + a + (a + -4)

Reorder the terms:
34 = -3 + a + (-4 + a)

Remove parenthesis around (-4 + a)
34 = -3 + a + -4 + a

Reorder the terms:
34 = -3 + -4 + a + a

Combine like terms: -3 + -4 = -7
34 = -7 + a + a

Combine like terms: a + a = 2a
34 = -7 + 2a

Solving
34 = -7 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
34 + -2a = -7 + 2a + -2a

Combine like terms: 2a + -2a = 0
34 + -2a = -7 + 0
34 + -2a = -7

Add '-34' to each side of the equation.
34 + -34 + -2a = -7 + -34

Combine like terms: 34 + -34 = 0
0 + -2a = -7 + -34
-2a = -7 + -34

Combine like terms: -7 + -34 = -41
-2a = -41

Divide each side by '-2'.
a = 20.5

Simplifying
a = 20.5

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