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

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


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

Reorder the terms:
8(-2 + a) + -3(2a + -1) = 13
(-2 * 8 + a * 8) + -3(2a + -1) = 13
(-16 + 8a) + -3(2a + -1) = 13

Reorder the terms:
-16 + 8a + -3(-1 + 2a) = 13
-16 + 8a + (-1 * -3 + 2a * -3) = 13
-16 + 8a + (3 + -6a) = 13

Reorder the terms:
-16 + 3 + 8a + -6a = 13

Combine like terms: -16 + 3 = -13
-13 + 8a + -6a = 13

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

Solving
-13 + 2a = 13

Solving for variable 'a'.

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

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

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

Combine like terms: 13 + 13 = 26
2a = 26

Divide each side by '2'.
a = 13

Simplifying
a = 13

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