8(t-3)+4r=6(2t+1)-10

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Solution for 8(t-3)+4r=6(2t+1)-10 equation: 


Simplifying
8(t + -3) + 4r = 6(2t + 1) + -10

Reorder the terms:
8(-3 + t) + 4r = 6(2t + 1) + -10
(-3 * 8 + t * 8) + 4r = 6(2t + 1) + -10
(-24 + 8t) + 4r = 6(2t + 1) + -10

Reorder the terms:
-24 + 4r + 8t = 6(2t + 1) + -10

Reorder the terms:
-24 + 4r + 8t = 6(1 + 2t) + -10
-24 + 4r + 8t = (1 * 6 + 2t * 6) + -10
-24 + 4r + 8t = (6 + 12t) + -10

Reorder the terms:
-24 + 4r + 8t = 6 + -10 + 12t

Combine like terms: 6 + -10 = -4
-24 + 4r + 8t = -4 + 12t

Solving
-24 + 4r + 8t = -4 + 12t

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 + 4r + 24 + 8t = -4 + 24 + 12t

Reorder the terms:
-24 + 24 + 4r + 8t = -4 + 24 + 12t

Combine like terms: -24 + 24 = 0
0 + 4r + 8t = -4 + 24 + 12t
4r + 8t = -4 + 24 + 12t

Combine like terms: -4 + 24 = 20
4r + 8t = 20 + 12t

Add '-8t' to each side of the equation.
4r + 8t + -8t = 20 + 12t + -8t

Combine like terms: 8t + -8t = 0
4r + 0 = 20 + 12t + -8t
4r = 20 + 12t + -8t

Combine like terms: 12t + -8t = 4t
4r = 20 + 4t

Divide each side by '4'.
r = 5 + t

Simplifying
r = 5 + t

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