1q+1=-3(2q-1)+4(2q+1)

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Solution for 1q+1=-3(2q-1)+4(2q+1) equation: 


Simplifying
1q + 1 = -3(2q + -1) + 4(2q + 1)

Reorder the terms:
1 + 1q = -3(2q + -1) + 4(2q + 1)

Reorder the terms:
1 + 1q = -3(-1 + 2q) + 4(2q + 1)
1 + 1q = (-1 * -3 + 2q * -3) + 4(2q + 1)
1 + 1q = (3 + -6q) + 4(2q + 1)

Reorder the terms:
1 + 1q = 3 + -6q + 4(1 + 2q)
1 + 1q = 3 + -6q + (1 * 4 + 2q * 4)
1 + 1q = 3 + -6q + (4 + 8q)

Reorder the terms:
1 + 1q = 3 + 4 + -6q + 8q

Combine like terms: 3 + 4 = 7
1 + 1q = 7 + -6q + 8q

Combine like terms: -6q + 8q = 2q
1 + 1q = 7 + 2q

Solving
1 + 1q = 7 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
1 + 1q + -2q = 7 + 2q + -2q

Combine like terms: 1q + -2q = -1q
1 + -1q = 7 + 2q + -2q

Combine like terms: 2q + -2q = 0
1 + -1q = 7 + 0
1 + -1q = 7

Add '-1' to each side of the equation.
1 + -1 + -1q = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -1q = 7 + -1
-1q = 7 + -1

Combine like terms: 7 + -1 = 6
-1q = 6

Divide each side by '-1'.
q = -6

Simplifying
q = -6

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