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

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


Simplifying
-5(5 + -4a) = -2(a + 5) + 7a
(5 * -5 + -4a * -5) = -2(a + 5) + 7a
(-25 + 20a) = -2(a + 5) + 7a

Reorder the terms:
-25 + 20a = -2(5 + a) + 7a
-25 + 20a = (5 * -2 + a * -2) + 7a
-25 + 20a = (-10 + -2a) + 7a

Combine like terms: -2a + 7a = 5a
-25 + 20a = -10 + 5a

Solving
-25 + 20a = -10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-25 + 20a + -5a = -10 + 5a + -5a

Combine like terms: 20a + -5a = 15a
-25 + 15a = -10 + 5a + -5a

Combine like terms: 5a + -5a = 0
-25 + 15a = -10 + 0
-25 + 15a = -10

Add '25' to each side of the equation.
-25 + 25 + 15a = -10 + 25

Combine like terms: -25 + 25 = 0
0 + 15a = -10 + 25
15a = -10 + 25

Combine like terms: -10 + 25 = 15
15a = 15

Divide each side by '15'.
a = 1

Simplifying
a = 1

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