5(6+5a)=1-4a

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Solution for 5(6+5a)=1-4a equation:


Simplifying
5(6 + 5a) = 1 + -4a
(6 * 5 + 5a * 5) = 1 + -4a
(30 + 25a) = 1 + -4a

Solving
30 + 25a = 1 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
30 + 25a + 4a = 1 + -4a + 4a

Combine like terms: 25a + 4a = 29a
30 + 29a = 1 + -4a + 4a

Combine like terms: -4a + 4a = 0
30 + 29a = 1 + 0
30 + 29a = 1

Add '-30' to each side of the equation.
30 + -30 + 29a = 1 + -30

Combine like terms: 30 + -30 = 0
0 + 29a = 1 + -30
29a = 1 + -30

Combine like terms: 1 + -30 = -29
29a = -29

Divide each side by '29'.
a = -1

Simplifying
a = -1

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