4a+5=-3(5a+6)

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Solution for 4a+5=-3(5a+6) equation:


Simplifying
4a + 5 = -3(5a + 6)

Reorder the terms:
5 + 4a = -3(5a + 6)

Reorder the terms:
5 + 4a = -3(6 + 5a)
5 + 4a = (6 * -3 + 5a * -3)
5 + 4a = (-18 + -15a)

Solving
5 + 4a = -18 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
5 + 4a + 15a = -18 + -15a + 15a

Combine like terms: 4a + 15a = 19a
5 + 19a = -18 + -15a + 15a

Combine like terms: -15a + 15a = 0
5 + 19a = -18 + 0
5 + 19a = -18

Add '-5' to each side of the equation.
5 + -5 + 19a = -18 + -5

Combine like terms: 5 + -5 = 0
0 + 19a = -18 + -5
19a = -18 + -5

Combine like terms: -18 + -5 = -23
19a = -23

Divide each side by '19'.
a = -1.210526316

Simplifying
a = -1.210526316

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