7(t-r)=2r-3(4r+t)

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Solution for 7(t-r)=2r-3(4r+t) equation: 


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

Reorder the terms:
7(-1r + t) = 2r + -3(4r + t)
(-1r * 7 + t * 7) = 2r + -3(4r + t)
(-7r + 7t) = 2r + -3(4r + t)
-7r + 7t = 2r + (4r * -3 + t * -3)
-7r + 7t = 2r + (-12r + -3t)

Combine like terms: 2r + -12r = -10r
-7r + 7t = -10r + -3t

Solving
-7r + 7t = -10r + -3t

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
-7r + 10r + 7t = -10r + 10r + -3t

Combine like terms: -7r + 10r = 3r
3r + 7t = -10r + 10r + -3t

Combine like terms: -10r + 10r = 0
3r + 7t = 0 + -3t
3r + 7t = -3t

Add '-7t' to each side of the equation.
3r + 7t + -7t = -3t + -7t

Combine like terms: 7t + -7t = 0
3r + 0 = -3t + -7t
3r = -3t + -7t

Combine like terms: -3t + -7t = -10t
3r = -10t

Divide each side by '3'.
r = -3.333333333t

Simplifying
r = -3.333333333t

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