7(a+1)-3a=55+4(2a-1)

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Solution for 7(a+1)-3a=55+4(2a-1) equation:


Simplifying
7(a + 1) + -3a = 55 + 4(2a + -1)

Reorder the terms:
7(1 + a) + -3a = 55 + 4(2a + -1)
(1 * 7 + a * 7) + -3a = 55 + 4(2a + -1)
(7 + 7a) + -3a = 55 + 4(2a + -1)

Combine like terms: 7a + -3a = 4a
7 + 4a = 55 + 4(2a + -1)

Reorder the terms:
7 + 4a = 55 + 4(-1 + 2a)
7 + 4a = 55 + (-1 * 4 + 2a * 4)
7 + 4a = 55 + (-4 + 8a)

Combine like terms: 55 + -4 = 51
7 + 4a = 51 + 8a

Solving
7 + 4a = 51 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
7 + 4a + -8a = 51 + 8a + -8a

Combine like terms: 4a + -8a = -4a
7 + -4a = 51 + 8a + -8a

Combine like terms: 8a + -8a = 0
7 + -4a = 51 + 0
7 + -4a = 51

Add '-7' to each side of the equation.
7 + -7 + -4a = 51 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = 51 + -7
-4a = 51 + -7

Combine like terms: 51 + -7 = 44
-4a = 44

Divide each side by '-4'.
a = -11

Simplifying
a = -11

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