5(a+5)=-3(1-3a)

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Solution for 5(a+5)=-3(1-3a) equation:


Simplifying
5(a + 5) = -3(1 + -3a)

Reorder the terms:
5(5 + a) = -3(1 + -3a)
(5 * 5 + a * 5) = -3(1 + -3a)
(25 + 5a) = -3(1 + -3a)
25 + 5a = (1 * -3 + -3a * -3)
25 + 5a = (-3 + 9a)

Solving
25 + 5a = -3 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
25 + 5a + -9a = -3 + 9a + -9a

Combine like terms: 5a + -9a = -4a
25 + -4a = -3 + 9a + -9a

Combine like terms: 9a + -9a = 0
25 + -4a = -3 + 0
25 + -4a = -3

Add '-25' to each side of the equation.
25 + -25 + -4a = -3 + -25

Combine like terms: 25 + -25 = 0
0 + -4a = -3 + -25
-4a = -3 + -25

Combine like terms: -3 + -25 = -28
-4a = -28

Divide each side by '-4'.
a = 7

Simplifying
a = 7

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