14-3(5T-13)=1-(20t+1)

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Solution for 14-3(5T-13)=1-(20t+1) equation:


Simplifying
14 + -3(5T + -13) = 1 + -1(20t + 1)

Reorder the terms:
14 + -3(-13 + 5T) = 1 + -1(20t + 1)
14 + (-13 * -3 + 5T * -3) = 1 + -1(20t + 1)
14 + (39 + -15T) = 1 + -1(20t + 1)

Combine like terms: 14 + 39 = 53
53 + -15T = 1 + -1(20t + 1)

Reorder the terms:
53 + -15T = 1 + -1(1 + 20t)
53 + -15T = 1 + (1 * -1 + 20t * -1)
53 + -15T = 1 + (-1 + -20t)

Combine like terms: 1 + -1 = 0
53 + -15T = 0 + -20t
53 + -15T = -20t

Solving
53 + -15T = -20t

Solving for variable 'T'.

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

Add '-53' to each side of the equation.
53 + -53 + -15T = -53 + -20t

Combine like terms: 53 + -53 = 0
0 + -15T = -53 + -20t
-15T = -53 + -20t

Divide each side by '-15'.
T = 3.533333333 + 1.333333333t

Simplifying
T = 3.533333333 + 1.333333333t

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