7(t-3)2=15+5t

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Solution for 7(t-3)2=15+5t equation:


Simplifying
7(t + -3) * 2 = 15 + 5t

Reorder the terms:
7(-3 + t) * 2 = 15 + 5t

Reorder the terms for easier multiplication:
7 * 2(-3 + t) = 15 + 5t

Multiply 7 * 2
14(-3 + t) = 15 + 5t
(-3 * 14 + t * 14) = 15 + 5t
(-42 + 14t) = 15 + 5t

Solving
-42 + 14t = 15 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-42 + 14t + -5t = 15 + 5t + -5t

Combine like terms: 14t + -5t = 9t
-42 + 9t = 15 + 5t + -5t

Combine like terms: 5t + -5t = 0
-42 + 9t = 15 + 0
-42 + 9t = 15

Add '42' to each side of the equation.
-42 + 42 + 9t = 15 + 42

Combine like terms: -42 + 42 = 0
0 + 9t = 15 + 42
9t = 15 + 42

Combine like terms: 15 + 42 = 57
9t = 57

Divide each side by '9'.
t = 6.333333333

Simplifying
t = 6.333333333

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