4-3(5t-12)=1-(20t+1)

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Solution for 4-3(5t-12)=1-(20t+1) equation:


Simplifying
4 + -3(5t + -12) = 1 + -1(20t + 1)

Reorder the terms:
4 + -3(-12 + 5t) = 1 + -1(20t + 1)
4 + (-12 * -3 + 5t * -3) = 1 + -1(20t + 1)
4 + (36 + -15t) = 1 + -1(20t + 1)

Combine like terms: 4 + 36 = 40
40 + -15t = 1 + -1(20t + 1)

Reorder the terms:
40 + -15t = 1 + -1(1 + 20t)
40 + -15t = 1 + (1 * -1 + 20t * -1)
40 + -15t = 1 + (-1 + -20t)

Combine like terms: 1 + -1 = 0
40 + -15t = 0 + -20t
40 + -15t = -20t

Solving
40 + -15t = -20t

Solving for variable 't'.

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

Add '20t' to each side of the equation.
40 + -15t + 20t = -20t + 20t

Combine like terms: -15t + 20t = 5t
40 + 5t = -20t + 20t

Combine like terms: -20t + 20t = 0
40 + 5t = 0

Add '-40' to each side of the equation.
40 + -40 + 5t = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 5t = 0 + -40
5t = 0 + -40

Combine like terms: 0 + -40 = -40
5t = -40

Divide each side by '5'.
t = -8

Simplifying
t = -8

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