8(2r-3)-r=8(3s-14)

Solution for 8(2r-3)-r=8(3s-14) equation:

Simplifying
8(2r + -3) + -1r = 8(3s + -14)

Reorder the terms:
8(-3 + 2r) + -1r = 8(3s + -14)
(-3 * 8 + 2r * 8) + -1r = 8(3s + -14)
(-24 + 16r) + -1r = 8(3s + -14)

Combine like terms: 16r + -1r = 15r
-24 + 15r = 8(3s + -14)

Reorder the terms:
-24 + 15r = 8(-14 + 3s)
-24 + 15r = (-14 * 8 + 3s * 8)
-24 + 15r = (-112 + 24s)

Solving
-24 + 15r = -112 + 24s

Solving for variable 'r'.

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

Add '24' to each side of the equation.
-24 + 24 + 15r = -112 + 24 + 24s

Combine like terms: -24 + 24 = 0
0 + 15r = -112 + 24 + 24s
15r = -112 + 24 + 24s

Combine like terms: -112 + 24 = -88
15r = -88 + 24s

Divide each side by '15'.
r = -5.866666667 + 1.6s

Simplifying
r = -5.866666667 + 1.6s