117=a+(a+1)+(a+3)

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Solution for 117=a+(a+1)+(a+3) equation: 


Simplifying
117 = a + (a + 1) + (a + 3)

Reorder the terms:
117 = a + (1 + a) + (a + 3)

Remove parenthesis around (1 + a)
117 = a + 1 + a + (a + 3)

Reorder the terms:
117 = a + 1 + a + (3 + a)

Remove parenthesis around (3 + a)
117 = a + 1 + a + 3 + a

Reorder the terms:
117 = 1 + 3 + a + a + a

Combine like terms: 1 + 3 = 4
117 = 4 + a + a + a

Combine like terms: a + a = 2a
117 = 4 + 2a + a

Combine like terms: 2a + a = 3a
117 = 4 + 3a

Solving
117 = 4 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
117 + -3a = 4 + 3a + -3a

Combine like terms: 3a + -3a = 0
117 + -3a = 4 + 0
117 + -3a = 4

Add '-117' to each side of the equation.
117 + -117 + -3a = 4 + -117

Combine like terms: 117 + -117 = 0
0 + -3a = 4 + -117
-3a = 4 + -117

Combine like terms: 4 + -117 = -113
-3a = -113

Divide each side by '-3'.
a = 37.66666667

Simplifying
a = 37.66666667

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