13a-8(a+1)=3(a-3)

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Solution for 13a-8(a+1)=3(a-3) equation:


Simplifying
13a + -8(a + 1) = 3(a + -3)

Reorder the terms:
13a + -8(1 + a) = 3(a + -3)
13a + (1 * -8 + a * -8) = 3(a + -3)
13a + (-8 + -8a) = 3(a + -3)

Reorder the terms:
-8 + 13a + -8a = 3(a + -3)

Combine like terms: 13a + -8a = 5a
-8 + 5a = 3(a + -3)

Reorder the terms:
-8 + 5a = 3(-3 + a)
-8 + 5a = (-3 * 3 + a * 3)
-8 + 5a = (-9 + 3a)

Solving
-8 + 5a = -9 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-8 + 5a + -3a = -9 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-8 + 2a = -9 + 3a + -3a

Combine like terms: 3a + -3a = 0
-8 + 2a = -9 + 0
-8 + 2a = -9

Add '8' to each side of the equation.
-8 + 8 + 2a = -9 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = -9 + 8
2a = -9 + 8

Combine like terms: -9 + 8 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5

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