(r+5)(2q-1)+19=4a-121

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Solution for (r+5)(2q-1)+19=4a-121 equation:


Simplifying
(r + 5)(2q + -1) + 19 = 4a + -121

Reorder the terms:
(5 + r)(2q + -1) + 19 = 4a + -121

Reorder the terms:
(5 + r)(-1 + 2q) + 19 = 4a + -121

Multiply (5 + r) * (-1 + 2q)
(5(-1 + 2q) + r(-1 + 2q)) + 19 = 4a + -121
((-1 * 5 + 2q * 5) + r(-1 + 2q)) + 19 = 4a + -121
((-5 + 10q) + r(-1 + 2q)) + 19 = 4a + -121
(-5 + 10q + (-1 * r + 2q * r)) + 19 = 4a + -121

Reorder the terms:
(-5 + 10q + (2qr + -1r)) + 19 = 4a + -121
(-5 + 10q + (2qr + -1r)) + 19 = 4a + -121
(-5 + 10q + 2qr + -1r) + 19 = 4a + -121

Reorder the terms:
-5 + 19 + 10q + 2qr + -1r = 4a + -121

Combine like terms: -5 + 19 = 14
14 + 10q + 2qr + -1r = 4a + -121

Reorder the terms:
14 + 10q + 2qr + -1r = -121 + 4a

Solving
14 + 10q + 2qr + -1r = -121 + 4a

Solving for variable 'q'.

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

Add '-14' to each side of the equation.
14 + 10q + 2qr + -14 + -1r = -121 + -14 + 4a

Reorder the terms:
14 + -14 + 10q + 2qr + -1r = -121 + -14 + 4a

Combine like terms: 14 + -14 = 0
0 + 10q + 2qr + -1r = -121 + -14 + 4a
10q + 2qr + -1r = -121 + -14 + 4a

Combine like terms: -121 + -14 = -135
10q + 2qr + -1r = -135 + 4a

Add 'r' to each side of the equation.
10q + 2qr + -1r + r = -135 + 4a + r

Combine like terms: -1r + r = 0
10q + 2qr + 0 = -135 + 4a + r
10q + 2qr = -135 + 4a + r

Reorder the terms:
135 + -4a + 10q + 2qr + -1r = -135 + 4a + r + 135 + -4a + -1r

Reorder the terms:
135 + -4a + 10q + 2qr + -1r = -135 + 135 + 4a + -4a + r + -1r

Combine like terms: -135 + 135 = 0
135 + -4a + 10q + 2qr + -1r = 0 + 4a + -4a + r + -1r
135 + -4a + 10q + 2qr + -1r = 4a + -4a + r + -1r

Combine like terms: 4a + -4a = 0
135 + -4a + 10q + 2qr + -1r = 0 + r + -1r
135 + -4a + 10q + 2qr + -1r = r + -1r

Combine like terms: r + -1r = 0
135 + -4a + 10q + 2qr + -1r = 0

The solution to this equation could not be determined.

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