2(5a-2)+3(4-7a)=-25

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Solution for 2(5a-2)+3(4-7a)=-25 equation: 


Simplifying
2(5a + -2) + 3(4 + -7a) = -25

Reorder the terms:
2(-2 + 5a) + 3(4 + -7a) = -25
(-2 * 2 + 5a * 2) + 3(4 + -7a) = -25
(-4 + 10a) + 3(4 + -7a) = -25
-4 + 10a + (4 * 3 + -7a * 3) = -25
-4 + 10a + (12 + -21a) = -25

Reorder the terms:
-4 + 12 + 10a + -21a = -25

Combine like terms: -4 + 12 = 8
8 + 10a + -21a = -25

Combine like terms: 10a + -21a = -11a
8 + -11a = -25

Solving
8 + -11a = -25

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + -11a = -25 + -8

Combine like terms: 8 + -8 = 0
0 + -11a = -25 + -8
-11a = -25 + -8

Combine like terms: -25 + -8 = -33
-11a = -33

Divide each side by '-11'.
a = 3

Simplifying
a = 3

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