7(6a-7)=287

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Solution for 7(6a-7)=287 equation:


Simplifying
7(6a + -7) = 287

Reorder the terms:
7(-7 + 6a) = 287
(-7 * 7 + 6a * 7) = 287
(-49 + 42a) = 287

Solving
-49 + 42a = 287

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + 42a = 287 + 49

Combine like terms: -49 + 49 = 0
0 + 42a = 287 + 49
42a = 287 + 49

Combine like terms: 287 + 49 = 336
42a = 336

Divide each side by '42'.
a = 8

Simplifying
a = 8

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