9(t-3)-3(-4t-2)=20(t-1)+1

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Solution for 9(t-3)-3(-4t-2)=20(t-1)+1 equation:


Simplifying
9(t + -3) + -3(-4t + -2) = 20(t + -1) + 1

Reorder the terms:
9(-3 + t) + -3(-4t + -2) = 20(t + -1) + 1
(-3 * 9 + t * 9) + -3(-4t + -2) = 20(t + -1) + 1
(-27 + 9t) + -3(-4t + -2) = 20(t + -1) + 1

Reorder the terms:
-27 + 9t + -3(-2 + -4t) = 20(t + -1) + 1
-27 + 9t + (-2 * -3 + -4t * -3) = 20(t + -1) + 1
-27 + 9t + (6 + 12t) = 20(t + -1) + 1

Reorder the terms:
-27 + 6 + 9t + 12t = 20(t + -1) + 1

Combine like terms: -27 + 6 = -21
-21 + 9t + 12t = 20(t + -1) + 1

Combine like terms: 9t + 12t = 21t
-21 + 21t = 20(t + -1) + 1

Reorder the terms:
-21 + 21t = 20(-1 + t) + 1
-21 + 21t = (-1 * 20 + t * 20) + 1
-21 + 21t = (-20 + 20t) + 1

Reorder the terms:
-21 + 21t = -20 + 1 + 20t

Combine like terms: -20 + 1 = -19
-21 + 21t = -19 + 20t

Solving
-21 + 21t = -19 + 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.
-21 + 21t + -20t = -19 + 20t + -20t

Combine like terms: 21t + -20t = 1t
-21 + 1t = -19 + 20t + -20t

Combine like terms: 20t + -20t = 0
-21 + 1t = -19 + 0
-21 + 1t = -19

Add '21' to each side of the equation.
-21 + 21 + 1t = -19 + 21

Combine like terms: -21 + 21 = 0
0 + 1t = -19 + 21
1t = -19 + 21

Combine like terms: -19 + 21 = 2
1t = 2

Divide each side by '1'.
t = 2

Simplifying
t = 2

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