3(6t+7)=5(4t+7)

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Solution for 3(6t+7)=5(4t+7) equation:


Simplifying
3(6t + 7) = 5(4t + 7)

Reorder the terms:
3(7 + 6t) = 5(4t + 7)
(7 * 3 + 6t * 3) = 5(4t + 7)
(21 + 18t) = 5(4t + 7)

Reorder the terms:
21 + 18t = 5(7 + 4t)
21 + 18t = (7 * 5 + 4t * 5)
21 + 18t = (35 + 20t)

Solving
21 + 18t = 35 + 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 + 18t + -20t = 35 + 20t + -20t

Combine like terms: 18t + -20t = -2t
21 + -2t = 35 + 20t + -20t

Combine like terms: 20t + -20t = 0
21 + -2t = 35 + 0
21 + -2t = 35

Add '-21' to each side of the equation.
21 + -21 + -2t = 35 + -21

Combine like terms: 21 + -21 = 0
0 + -2t = 35 + -21
-2t = 35 + -21

Combine like terms: 35 + -21 = 14
-2t = 14

Divide each side by '-2'.
t = -7

Simplifying
t = -7

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