5(2a+3)-4(8-a)=11

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Solution for 5(2a+3)-4(8-a)=11 equation:


Simplifying
5(2a + 3) + -4(8 + -1a) = 11

Reorder the terms:
5(3 + 2a) + -4(8 + -1a) = 11
(3 * 5 + 2a * 5) + -4(8 + -1a) = 11
(15 + 10a) + -4(8 + -1a) = 11
15 + 10a + (8 * -4 + -1a * -4) = 11
15 + 10a + (-32 + 4a) = 11

Reorder the terms:
15 + -32 + 10a + 4a = 11

Combine like terms: 15 + -32 = -17
-17 + 10a + 4a = 11

Combine like terms: 10a + 4a = 14a
-17 + 14a = 11

Solving
-17 + 14a = 11

Solving for variable 'a'.

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

Add '17' to each side of the equation.
-17 + 17 + 14a = 11 + 17

Combine like terms: -17 + 17 = 0
0 + 14a = 11 + 17
14a = 11 + 17

Combine like terms: 11 + 17 = 28
14a = 28

Divide each side by '14'.
a = 2

Simplifying
a = 2

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