3(t+6)-2(-9t-5)=20(t+2)+4

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Solution for 3(t+6)-2(-9t-5)=20(t+2)+4 equation:


Simplifying
3(t + 6) + -2(-9t + -5) = 20(t + 2) + 4

Reorder the terms:
3(6 + t) + -2(-9t + -5) = 20(t + 2) + 4
(6 * 3 + t * 3) + -2(-9t + -5) = 20(t + 2) + 4
(18 + 3t) + -2(-9t + -5) = 20(t + 2) + 4

Reorder the terms:
18 + 3t + -2(-5 + -9t) = 20(t + 2) + 4
18 + 3t + (-5 * -2 + -9t * -2) = 20(t + 2) + 4
18 + 3t + (10 + 18t) = 20(t + 2) + 4

Reorder the terms:
18 + 10 + 3t + 18t = 20(t + 2) + 4

Combine like terms: 18 + 10 = 28
28 + 3t + 18t = 20(t + 2) + 4

Combine like terms: 3t + 18t = 21t
28 + 21t = 20(t + 2) + 4

Reorder the terms:
28 + 21t = 20(2 + t) + 4
28 + 21t = (2 * 20 + t * 20) + 4
28 + 21t = (40 + 20t) + 4

Reorder the terms:
28 + 21t = 40 + 4 + 20t

Combine like terms: 40 + 4 = 44
28 + 21t = 44 + 20t

Solving
28 + 21t = 44 + 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.
28 + 21t + -20t = 44 + 20t + -20t

Combine like terms: 21t + -20t = 1t
28 + 1t = 44 + 20t + -20t

Combine like terms: 20t + -20t = 0
28 + 1t = 44 + 0
28 + 1t = 44

Add '-28' to each side of the equation.
28 + -28 + 1t = 44 + -28

Combine like terms: 28 + -28 = 0
0 + 1t = 44 + -28
1t = 44 + -28

Combine like terms: 44 + -28 = 16
1t = 16

Divide each side by '1'.
t = 16

Simplifying
t = 16

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