9(t+2)=7(t+3)

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Solution for 9(t+2)=7(t+3) equation:


Simplifying
9(t + 2) = 7(t + 3)

Reorder the terms:
9(2 + t) = 7(t + 3)
(2 * 9 + t * 9) = 7(t + 3)
(18 + 9t) = 7(t + 3)

Reorder the terms:
18 + 9t = 7(3 + t)
18 + 9t = (3 * 7 + t * 7)
18 + 9t = (21 + 7t)

Solving
18 + 9t = 21 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
18 + 9t + -7t = 21 + 7t + -7t

Combine like terms: 9t + -7t = 2t
18 + 2t = 21 + 7t + -7t

Combine like terms: 7t + -7t = 0
18 + 2t = 21 + 0
18 + 2t = 21

Add '-18' to each side of the equation.
18 + -18 + 2t = 21 + -18

Combine like terms: 18 + -18 = 0
0 + 2t = 21 + -18
2t = 21 + -18

Combine like terms: 21 + -18 = 3
2t = 3

Divide each side by '2'.
t = 1.5

Simplifying
t = 1.5

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