7a-17=4a+7(1+a)

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Solution for 7a-17=4a+7(1+a) equation:


Simplifying
7a + -17 = 4a + 7(1 + a)

Reorder the terms:
-17 + 7a = 4a + 7(1 + a)
-17 + 7a = 4a + (1 * 7 + a * 7)
-17 + 7a = 4a + (7 + 7a)

Reorder the terms:
-17 + 7a = 7 + 4a + 7a

Combine like terms: 4a + 7a = 11a
-17 + 7a = 7 + 11a

Solving
-17 + 7a = 7 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-17 + 7a + -11a = 7 + 11a + -11a

Combine like terms: 7a + -11a = -4a
-17 + -4a = 7 + 11a + -11a

Combine like terms: 11a + -11a = 0
-17 + -4a = 7 + 0
-17 + -4a = 7

Add '17' to each side of the equation.
-17 + 17 + -4a = 7 + 17

Combine like terms: -17 + 17 = 0
0 + -4a = 7 + 17
-4a = 7 + 17

Combine like terms: 7 + 17 = 24
-4a = 24

Divide each side by '-4'.
a = -6

Simplifying
a = -6

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