7a-4=3(a+9)+41

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Solution for 7a-4=3(a+9)+41 equation:


Simplifying
7a + -4 = 3(a + 9) + 41

Reorder the terms:
-4 + 7a = 3(a + 9) + 41

Reorder the terms:
-4 + 7a = 3(9 + a) + 41
-4 + 7a = (9 * 3 + a * 3) + 41
-4 + 7a = (27 + 3a) + 41

Reorder the terms:
-4 + 7a = 27 + 41 + 3a

Combine like terms: 27 + 41 = 68
-4 + 7a = 68 + 3a

Solving
-4 + 7a = 68 + 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.
-4 + 7a + -3a = 68 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-4 + 4a = 68 + 3a + -3a

Combine like terms: 3a + -3a = 0
-4 + 4a = 68 + 0
-4 + 4a = 68

Add '4' to each side of the equation.
-4 + 4 + 4a = 68 + 4

Combine like terms: -4 + 4 = 0
0 + 4a = 68 + 4
4a = 68 + 4

Combine like terms: 68 + 4 = 72
4a = 72

Divide each side by '4'.
a = 18

Simplifying
a = 18

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