8(a-3)-2(3a-1)=-13

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Solution for 8(a-3)-2(3a-1)=-13 equation: 


Simplifying
8(a + -3) + -2(3a + -1) = -13

Reorder the terms:
8(-3 + a) + -2(3a + -1) = -13
(-3 * 8 + a * 8) + -2(3a + -1) = -13
(-24 + 8a) + -2(3a + -1) = -13

Reorder the terms:
-24 + 8a + -2(-1 + 3a) = -13
-24 + 8a + (-1 * -2 + 3a * -2) = -13
-24 + 8a + (2 + -6a) = -13

Reorder the terms:
-24 + 2 + 8a + -6a = -13

Combine like terms: -24 + 2 = -22
-22 + 8a + -6a = -13

Combine like terms: 8a + -6a = 2a
-22 + 2a = -13

Solving
-22 + 2a = -13

Solving for variable 'a'.

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

Add '22' to each side of the equation.
-22 + 22 + 2a = -13 + 22

Combine like terms: -22 + 22 = 0
0 + 2a = -13 + 22
2a = -13 + 22

Combine like terms: -13 + 22 = 9
2a = 9

Divide each side by '2'.
a = 4.5

Simplifying
a = 4.5

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