3a-5(a-2)=34

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


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

Reorder the terms:
3a + -5(-2 + a) = 34
3a + (-2 * -5 + a * -5) = 34
3a + (10 + -5a) = 34

Reorder the terms:
10 + 3a + -5a = 34

Combine like terms: 3a + -5a = -2a
10 + -2a = 34

Solving
10 + -2a = 34

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + -2a = 34 + -10

Combine like terms: 10 + -10 = 0
0 + -2a = 34 + -10
-2a = 34 + -10

Combine like terms: 34 + -10 = 24
-2a = 24

Divide each side by '-2'.
a = -12

Simplifying
a = -12

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