3(35t+10)=15(3t+14)

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Solution for 3(35t+10)=15(3t+14) equation:


Simplifying
3(35t + 10) = 15(3t + 14)

Reorder the terms:
3(10 + 35t) = 15(3t + 14)
(10 * 3 + 35t * 3) = 15(3t + 14)
(30 + 105t) = 15(3t + 14)

Reorder the terms:
30 + 105t = 15(14 + 3t)
30 + 105t = (14 * 15 + 3t * 15)
30 + 105t = (210 + 45t)

Solving
30 + 105t = 210 + 45t

Solving for variable 't'.

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

Add '-45t' to each side of the equation.
30 + 105t + -45t = 210 + 45t + -45t

Combine like terms: 105t + -45t = 60t
30 + 60t = 210 + 45t + -45t

Combine like terms: 45t + -45t = 0
30 + 60t = 210 + 0
30 + 60t = 210

Add '-30' to each side of the equation.
30 + -30 + 60t = 210 + -30

Combine like terms: 30 + -30 = 0
0 + 60t = 210 + -30
60t = 210 + -30

Combine like terms: 210 + -30 = 180
60t = 180

Divide each side by '60'.
t = 3

Simplifying
t = 3

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