3(t+4)-(5t+4)=4(5t+4)+14

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Solution for 3(t+4)-(5t+4)=4(5t+4)+14 equation:


Simplifying
3(t + 4) + -1(5t + 4) = 4(5t + 4) + 14

Reorder the terms:
3(4 + t) + -1(5t + 4) = 4(5t + 4) + 14
(4 * 3 + t * 3) + -1(5t + 4) = 4(5t + 4) + 14
(12 + 3t) + -1(5t + 4) = 4(5t + 4) + 14

Reorder the terms:
12 + 3t + -1(4 + 5t) = 4(5t + 4) + 14
12 + 3t + (4 * -1 + 5t * -1) = 4(5t + 4) + 14
12 + 3t + (-4 + -5t) = 4(5t + 4) + 14

Reorder the terms:
12 + -4 + 3t + -5t = 4(5t + 4) + 14

Combine like terms: 12 + -4 = 8
8 + 3t + -5t = 4(5t + 4) + 14

Combine like terms: 3t + -5t = -2t
8 + -2t = 4(5t + 4) + 14

Reorder the terms:
8 + -2t = 4(4 + 5t) + 14
8 + -2t = (4 * 4 + 5t * 4) + 14
8 + -2t = (16 + 20t) + 14

Reorder the terms:
8 + -2t = 16 + 14 + 20t

Combine like terms: 16 + 14 = 30
8 + -2t = 30 + 20t

Solving
8 + -2t = 30 + 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.
8 + -2t + -20t = 30 + 20t + -20t

Combine like terms: -2t + -20t = -22t
8 + -22t = 30 + 20t + -20t

Combine like terms: 20t + -20t = 0
8 + -22t = 30 + 0
8 + -22t = 30

Add '-8' to each side of the equation.
8 + -8 + -22t = 30 + -8

Combine like terms: 8 + -8 = 0
0 + -22t = 30 + -8
-22t = 30 + -8

Combine like terms: 30 + -8 = 22
-22t = 22

Divide each side by '-22'.
t = -1

Simplifying
t = -1

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