(7t-2l)+(t+4)=15

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Solution for (7t-2l)+(t+4)=15 equation: 


Simplifying
(7t + -2l) + (t + 4) = 15

Reorder the terms:
(-2l + 7t) + (t + 4) = 15

Remove parenthesis around (-2l + 7t)
-2l + 7t + (t + 4) = 15

Reorder the terms:
-2l + 7t + (4 + t) = 15

Remove parenthesis around (4 + t)
-2l + 7t + 4 + t = 15

Reorder the terms:
4 + -2l + 7t + t = 15

Combine like terms: 7t + t = 8t
4 + -2l + 8t = 15

Solving
4 + -2l + 8t = 15

Solving for variable 'l'.

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

Add '-4' to each side of the equation.
4 + -2l + -4 + 8t = 15 + -4

Reorder the terms:
4 + -4 + -2l + 8t = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -2l + 8t = 15 + -4
-2l + 8t = 15 + -4

Combine like terms: 15 + -4 = 11
-2l + 8t = 11

Add '-8t' to each side of the equation.
-2l + 8t + -8t = 11 + -8t

Combine like terms: 8t + -8t = 0
-2l + 0 = 11 + -8t
-2l = 11 + -8t

Divide each side by '-2'.
l = -5.5 + 4t

Simplifying
l = -5.5 + 4t

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