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

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


Simplifying
3(5 + -3t) + 5t = -2t + -7
(5 * 3 + -3t * 3) + 5t = -2t + -7
(15 + -9t) + 5t = -2t + -7

Combine like terms: -9t + 5t = -4t
15 + -4t = -2t + -7

Reorder the terms:
15 + -4t = -7 + -2t

Solving
15 + -4t = -7 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
15 + -4t + 2t = -7 + -2t + 2t

Combine like terms: -4t + 2t = -2t
15 + -2t = -7 + -2t + 2t

Combine like terms: -2t + 2t = 0
15 + -2t = -7 + 0
15 + -2t = -7

Add '-15' to each side of the equation.
15 + -15 + -2t = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = -7 + -15
-2t = -7 + -15

Combine like terms: -7 + -15 = -22
-2t = -22

Divide each side by '-2'.
t = 11

Simplifying
t = 11

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