-14t+3(4t+2)=4t-7t+19

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Solution for -14t+3(4t+2)=4t-7t+19 equation:


Simplifying
-14t + 3(4t + 2) = 4t + -7t + 19

Reorder the terms:
-14t + 3(2 + 4t) = 4t + -7t + 19
-14t + (2 * 3 + 4t * 3) = 4t + -7t + 19
-14t + (6 + 12t) = 4t + -7t + 19

Reorder the terms:
6 + -14t + 12t = 4t + -7t + 19

Combine like terms: -14t + 12t = -2t
6 + -2t = 4t + -7t + 19

Reorder the terms:
6 + -2t = 19 + 4t + -7t

Combine like terms: 4t + -7t = -3t
6 + -2t = 19 + -3t

Solving
6 + -2t = 19 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
6 + -2t + 3t = 19 + -3t + 3t

Combine like terms: -2t + 3t = 1t
6 + 1t = 19 + -3t + 3t

Combine like terms: -3t + 3t = 0
6 + 1t = 19 + 0
6 + 1t = 19

Add '-6' to each side of the equation.
6 + -6 + 1t = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 1t = 19 + -6
1t = 19 + -6

Combine like terms: 19 + -6 = 13
1t = 13

Divide each side by '1'.
t = 13

Simplifying
t = 13

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