7a-35=7(7a+7)

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Solution for 7a-35=7(7a+7) equation:


Simplifying
7a + -35 = 7(7a + 7)

Reorder the terms:
-35 + 7a = 7(7a + 7)

Reorder the terms:
-35 + 7a = 7(7 + 7a)
-35 + 7a = (7 * 7 + 7a * 7)
-35 + 7a = (49 + 49a)

Solving
-35 + 7a = 49 + 49a

Solving for variable 'a'.

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

Add '-49a' to each side of the equation.
-35 + 7a + -49a = 49 + 49a + -49a

Combine like terms: 7a + -49a = -42a
-35 + -42a = 49 + 49a + -49a

Combine like terms: 49a + -49a = 0
-35 + -42a = 49 + 0
-35 + -42a = 49

Add '35' to each side of the equation.
-35 + 35 + -42a = 49 + 35

Combine like terms: -35 + 35 = 0
0 + -42a = 49 + 35
-42a = 49 + 35

Combine like terms: 49 + 35 = 84
-42a = 84

Divide each side by '-42'.
a = -2

Simplifying
a = -2

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