9(a-14)+2(a+46)=a+1

Solution for 9(a-14)+2(a+46)=a+1 equation:

Simplifying
9(a + -14) + 2(a + 46) = a + 1

Reorder the terms:
9(-14 + a) + 2(a + 46) = a + 1
(-14 * 9 + a * 9) + 2(a + 46) = a + 1
(-126 + 9a) + 2(a + 46) = a + 1

Reorder the terms:
-126 + 9a + 2(46 + a) = a + 1
-126 + 9a + (46 * 2 + a * 2) = a + 1
-126 + 9a + (92 + 2a) = a + 1

Reorder the terms:
-126 + 92 + 9a + 2a = a + 1

Combine like terms: -126 + 92 = -34
-34 + 9a + 2a = a + 1

Combine like terms: 9a + 2a = 11a
-34 + 11a = a + 1

Reorder the terms:
-34 + 11a = 1 + a

Solving
-34 + 11a = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-34 + 11a + -1a = 1 + a + -1a

Combine like terms: 11a + -1a = 10a
-34 + 10a = 1 + a + -1a

Combine like terms: a + -1a = 0
-34 + 10a = 1 + 0
-34 + 10a = 1

Add '34' to each side of the equation.
-34 + 34 + 10a = 1 + 34

Combine like terms: -34 + 34 = 0
0 + 10a = 1 + 34
10a = 1 + 34

Combine like terms: 1 + 34 = 35
10a = 35

Divide each side by '10'.
a = 3.5

Simplifying
a = 3.5