5a-3=5(a+1)+11a+6

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Solution for 5a-3=5(a+1)+11a+6 equation:


Simplifying
5a + -3 = 5(a + 1) + 11a + 6

Reorder the terms:
-3 + 5a = 5(a + 1) + 11a + 6

Reorder the terms:
-3 + 5a = 5(1 + a) + 11a + 6
-3 + 5a = (1 * 5 + a * 5) + 11a + 6
-3 + 5a = (5 + 5a) + 11a + 6

Reorder the terms:
-3 + 5a = 5 + 6 + 5a + 11a

Combine like terms: 5 + 6 = 11
-3 + 5a = 11 + 5a + 11a

Combine like terms: 5a + 11a = 16a
-3 + 5a = 11 + 16a

Solving
-3 + 5a = 11 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
-3 + 5a + -16a = 11 + 16a + -16a

Combine like terms: 5a + -16a = -11a
-3 + -11a = 11 + 16a + -16a

Combine like terms: 16a + -16a = 0
-3 + -11a = 11 + 0
-3 + -11a = 11

Add '3' to each side of the equation.
-3 + 3 + -11a = 11 + 3

Combine like terms: -3 + 3 = 0
0 + -11a = 11 + 3
-11a = 11 + 3

Combine like terms: 11 + 3 = 14
-11a = 14

Divide each side by '-11'.
a = -1.272727273

Simplifying
a = -1.272727273

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