8(2r-3)-r=4(3b-7)

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Solution for 8(2r-3)-r=4(3b-7) equation:


Simplifying
8(2r + -3) + -1r = 4(3b + -7)

Reorder the terms:
8(-3 + 2r) + -1r = 4(3b + -7)
(-3 * 8 + 2r * 8) + -1r = 4(3b + -7)
(-24 + 16r) + -1r = 4(3b + -7)

Combine like terms: 16r + -1r = 15r
-24 + 15r = 4(3b + -7)

Reorder the terms:
-24 + 15r = 4(-7 + 3b)
-24 + 15r = (-7 * 4 + 3b * 4)
-24 + 15r = (-28 + 12b)

Solving
-24 + 15r = -28 + 12b

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 = -28 + 24 + 12b

Combine like terms: -24 + 24 = 0
0 + 15r = -28 + 24 + 12b
15r = -28 + 24 + 12b

Combine like terms: -28 + 24 = -4
15r = -4 + 12b

Divide each side by '15'.
r = -0.2666666667 + 0.8b

Simplifying
r = -0.2666666667 + 0.8b

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