9(a-14)+2(a+41)=a+1

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Solution for 9(a-14)+2(a+41)=a+1 equation: 


Simplifying
9(a + -14) + 2(a + 41) = a + 1

Reorder the terms:
9(-14 + a) + 2(a + 41) = a + 1
(-14 * 9 + a * 9) + 2(a + 41) = a + 1
(-126 + 9a) + 2(a + 41) = a + 1

Reorder the terms:
-126 + 9a + 2(41 + a) = a + 1
-126 + 9a + (41 * 2 + a * 2) = a + 1
-126 + 9a + (82 + 2a) = a + 1

Reorder the terms:
-126 + 82 + 9a + 2a = a + 1

Combine like terms: -126 + 82 = -44
-44 + 9a + 2a = a + 1

Combine like terms: 9a + 2a = 11a
-44 + 11a = a + 1

Reorder the terms:
-44 + 11a = 1 + a

Solving
-44 + 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.
-44 + 11a + -1a = 1 + a + -1a

Combine like terms: 11a + -1a = 10a
-44 + 10a = 1 + a + -1a

Combine like terms: a + -1a = 0
-44 + 10a = 1 + 0
-44 + 10a = 1

Add '44' to each side of the equation.
-44 + 44 + 10a = 1 + 44

Combine like terms: -44 + 44 = 0
0 + 10a = 1 + 44
10a = 1 + 44

Combine like terms: 1 + 44 = 45
10a = 45

Divide each side by '10'.
a = 4.5

Simplifying
a = 4.5

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