(14R+9T+15)+(23-9R+3T)=

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Solution for (14R+9T+15)+(23-9R+3T)= equation:


Simplifying
(14R + 9T + 15) + (23 + -9R + 3T) = 0

Reorder the terms:
(15 + 14R + 9T) + (23 + -9R + 3T) = 0

Remove parenthesis around (15 + 14R + 9T)
15 + 14R + 9T + (23 + -9R + 3T) = 0

Remove parenthesis around (23 + -9R + 3T)
15 + 14R + 9T + 23 + -9R + 3T = 0

Reorder the terms:
15 + 23 + 14R + -9R + 9T + 3T = 0

Combine like terms: 15 + 23 = 38
38 + 14R + -9R + 9T + 3T = 0

Combine like terms: 14R + -9R = 5R
38 + 5R + 9T + 3T = 0

Combine like terms: 9T + 3T = 12T
38 + 5R + 12T = 0

Solving
38 + 5R + 12T = 0

Solving for variable 'R'.

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

Add '-38' to each side of the equation.
38 + 5R + -38 + 12T = 0 + -38

Reorder the terms:
38 + -38 + 5R + 12T = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 5R + 12T = 0 + -38
5R + 12T = 0 + -38

Combine like terms: 0 + -38 = -38
5R + 12T = -38

Add '-12T' to each side of the equation.
5R + 12T + -12T = -38 + -12T

Combine like terms: 12T + -12T = 0
5R + 0 = -38 + -12T
5R = -38 + -12T

Divide each side by '5'.
R = -7.6 + -2.4T

Simplifying
R = -7.6 + -2.4T

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