3a-5(4a-2)=61

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Solution for 3a-5(4a-2)=61 equation:


Simplifying
3a + -5(4a + -2) = 61

Reorder the terms:
3a + -5(-2 + 4a) = 61
3a + (-2 * -5 + 4a * -5) = 61
3a + (10 + -20a) = 61

Reorder the terms:
10 + 3a + -20a = 61

Combine like terms: 3a + -20a = -17a
10 + -17a = 61

Solving
10 + -17a = 61

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 + -17a = 61 + -10

Combine like terms: 10 + -10 = 0
0 + -17a = 61 + -10
-17a = 61 + -10

Combine like terms: 61 + -10 = 51
-17a = 51

Divide each side by '-17'.
a = -3

Simplifying
a = -3

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