2(5t-7)=14t-t+7

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Solution for 2(5t-7)=14t-t+7 equation:


Simplifying
2(5t + -7) = 14t + -1t + 7

Reorder the terms:
2(-7 + 5t) = 14t + -1t + 7
(-7 * 2 + 5t * 2) = 14t + -1t + 7
(-14 + 10t) = 14t + -1t + 7

Reorder the terms:
-14 + 10t = 7 + 14t + -1t

Combine like terms: 14t + -1t = 13t
-14 + 10t = 7 + 13t

Solving
-14 + 10t = 7 + 13t

Solving for variable 't'.

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

Add '-13t' to each side of the equation.
-14 + 10t + -13t = 7 + 13t + -13t

Combine like terms: 10t + -13t = -3t
-14 + -3t = 7 + 13t + -13t

Combine like terms: 13t + -13t = 0
-14 + -3t = 7 + 0
-14 + -3t = 7

Add '14' to each side of the equation.
-14 + 14 + -3t = 7 + 14

Combine like terms: -14 + 14 = 0
0 + -3t = 7 + 14
-3t = 7 + 14

Combine like terms: 7 + 14 = 21
-3t = 21

Divide each side by '-3'.
t = -7

Simplifying
t = -7

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