-t+19+11=-t-3(t-20)

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Solution for -t+19+11=-t-3(t-20) equation:


Simplifying
-1t + 19 + 11 = -1t + -3(t + -20)

Reorder the terms:
19 + 11 + -1t = -1t + -3(t + -20)

Combine like terms: 19 + 11 = 30
30 + -1t = -1t + -3(t + -20)

Reorder the terms:
30 + -1t = -1t + -3(-20 + t)
30 + -1t = -1t + (-20 * -3 + t * -3)
30 + -1t = -1t + (60 + -3t)

Reorder the terms:
30 + -1t = 60 + -1t + -3t

Combine like terms: -1t + -3t = -4t
30 + -1t = 60 + -4t

Solving
30 + -1t = 60 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
30 + -1t + 4t = 60 + -4t + 4t

Combine like terms: -1t + 4t = 3t
30 + 3t = 60 + -4t + 4t

Combine like terms: -4t + 4t = 0
30 + 3t = 60 + 0
30 + 3t = 60

Add '-30' to each side of the equation.
30 + -30 + 3t = 60 + -30

Combine like terms: 30 + -30 = 0
0 + 3t = 60 + -30
3t = 60 + -30

Combine like terms: 60 + -30 = 30
3t = 30

Divide each side by '3'.
t = 10

Simplifying
t = 10

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