7(q+1)-3q=5+4(4q-1)

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Solution for 7(q+1)-3q=5+4(4q-1) equation:


Simplifying
7(q + 1) + -3q = 5 + 4(4q + -1)

Reorder the terms:
7(1 + q) + -3q = 5 + 4(4q + -1)
(1 * 7 + q * 7) + -3q = 5 + 4(4q + -1)
(7 + 7q) + -3q = 5 + 4(4q + -1)

Combine like terms: 7q + -3q = 4q
7 + 4q = 5 + 4(4q + -1)

Reorder the terms:
7 + 4q = 5 + 4(-1 + 4q)
7 + 4q = 5 + (-1 * 4 + 4q * 4)
7 + 4q = 5 + (-4 + 16q)

Combine like terms: 5 + -4 = 1
7 + 4q = 1 + 16q

Solving
7 + 4q = 1 + 16q

Solving for variable 'q'.

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

Add '-16q' to each side of the equation.
7 + 4q + -16q = 1 + 16q + -16q

Combine like terms: 4q + -16q = -12q
7 + -12q = 1 + 16q + -16q

Combine like terms: 16q + -16q = 0
7 + -12q = 1 + 0
7 + -12q = 1

Add '-7' to each side of the equation.
7 + -7 + -12q = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -12q = 1 + -7
-12q = 1 + -7

Combine like terms: 1 + -7 = -6
-12q = -6

Divide each side by '-12'.
q = 0.5

Simplifying
q = 0.5

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