61-a+5=2(a+3)+6(a+1)

Solution for 61-a+5=2(a+3)+6(a+1) equation:

Simplifying
61 + -1a + 5 = 2(a + 3) + 6(a + 1)

Reorder the terms:
61 + 5 + -1a = 2(a + 3) + 6(a + 1)

Combine like terms: 61 + 5 = 66
66 + -1a = 2(a + 3) + 6(a + 1)

Reorder the terms:
66 + -1a = 2(3 + a) + 6(a + 1)
66 + -1a = (3 * 2 + a * 2) + 6(a + 1)
66 + -1a = (6 + 2a) + 6(a + 1)

Reorder the terms:
66 + -1a = 6 + 2a + 6(1 + a)
66 + -1a = 6 + 2a + (1 * 6 + a * 6)
66 + -1a = 6 + 2a + (6 + 6a)

Reorder the terms:
66 + -1a = 6 + 6 + 2a + 6a

Combine like terms: 6 + 6 = 12
66 + -1a = 12 + 2a + 6a

Combine like terms: 2a + 6a = 8a
66 + -1a = 12 + 8a

Solving
66 + -1a = 12 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
66 + -1a + -8a = 12 + 8a + -8a

Combine like terms: -1a + -8a = -9a
66 + -9a = 12 + 8a + -8a

Combine like terms: 8a + -8a = 0
66 + -9a = 12 + 0
66 + -9a = 12

Add '-66' to each side of the equation.
66 + -66 + -9a = 12 + -66

Combine like terms: 66 + -66 = 0
0 + -9a = 12 + -66
-9a = 12 + -66

Combine like terms: 12 + -66 = -54
-9a = -54

Divide each side by '-9'.
a = 6

Simplifying
a = 6