(3+5t)-7=2-(4-t)

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Solution for (3+5t)-7=2-(4-t) equation:


Simplifying
(3 + 5t) + -7 = 2 + -1(4 + -1t)

Remove parenthesis around (3 + 5t)
3 + 5t + -7 = 2 + -1(4 + -1t)

Reorder the terms:
3 + -7 + 5t = 2 + -1(4 + -1t)

Combine like terms: 3 + -7 = -4
-4 + 5t = 2 + -1(4 + -1t)
-4 + 5t = 2 + (4 * -1 + -1t * -1)
-4 + 5t = 2 + (-4 + 1t)

Combine like terms: 2 + -4 = -2
-4 + 5t = -2 + 1t

Solving
-4 + 5t = -2 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-4 + 5t + -1t = -2 + 1t + -1t

Combine like terms: 5t + -1t = 4t
-4 + 4t = -2 + 1t + -1t

Combine like terms: 1t + -1t = 0
-4 + 4t = -2 + 0
-4 + 4t = -2

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

Combine like terms: -4 + 4 = 0
0 + 4t = -2 + 4
4t = -2 + 4

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

Divide each side by '4'.
t = 0.5

Simplifying
t = 0.5

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