(7x-2)-(-3t+1)=-3(1-3t)

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Solution for (7x-2)-(-3t+1)=-3(1-3t) equation:


Simplifying
(7x + -2) + -1(-3t + 1) = -3(1 + -3t)

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

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

Reorder the terms:
-2 + 7x + -1(1 + -3t) = -3(1 + -3t)
-2 + 7x + (1 * -1 + -3t * -1) = -3(1 + -3t)
-2 + 7x + (-1 + 3t) = -3(1 + -3t)

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

Combine like terms: -2 + -1 = -3
-3 + 3t + 7x = -3(1 + -3t)
-3 + 3t + 7x = (1 * -3 + -3t * -3)
-3 + 3t + 7x = (-3 + 9t)

Add '3' to each side of the equation.
-3 + 3t + 3 + 7x = -3 + 3 + 9t

Reorder the terms:
-3 + 3 + 3t + 7x = -3 + 3 + 9t

Combine like terms: -3 + 3 = 0
0 + 3t + 7x = -3 + 3 + 9t
3t + 7x = -3 + 3 + 9t

Combine like terms: -3 + 3 = 0
3t + 7x = 0 + 9t
3t + 7x = 9t

Solving
3t + 7x = 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
3t + -9t + 7x = 9t + -9t

Combine like terms: 3t + -9t = -6t
-6t + 7x = 9t + -9t

Combine like terms: 9t + -9t = 0
-6t + 7x = 0

Add '-7x' to each side of the equation.
-6t + 7x + -7x = 0 + -7x

Combine like terms: 7x + -7x = 0
-6t + 0 = 0 + -7x
-6t = 0 + -7x
Remove the zero:
-6t = -7x

Divide each side by '-6'.
t = 1.166666667x

Simplifying
t = 1.166666667x

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