8(a+1)-1(4a+1)=11

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Solution for 8(a+1)-1(4a+1)=11 equation: 


Simplifying
8(a + 1) + -1(4a + 1) = 11

Reorder the terms:
8(1 + a) + -1(4a + 1) = 11
(1 * 8 + a * 8) + -1(4a + 1) = 11
(8 + 8a) + -1(4a + 1) = 11

Reorder the terms:
8 + 8a + -1(1 + 4a) = 11
8 + 8a + (1 * -1 + 4a * -1) = 11
8 + 8a + (-1 + -4a) = 11

Reorder the terms:
8 + -1 + 8a + -4a = 11

Combine like terms: 8 + -1 = 7
7 + 8a + -4a = 11

Combine like terms: 8a + -4a = 4a
7 + 4a = 11

Solving
7 + 4a = 11

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 4a = 11 + -7

Combine like terms: 7 + -7 = 0
0 + 4a = 11 + -7
4a = 11 + -7

Combine like terms: 11 + -7 = 4
4a = 4

Divide each side by '4'.
a = 1

Simplifying
a = 1

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