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

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


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

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

Reorder the terms:
5 + -1(1 + -3t) = -3(1 + -3t)
5 + (1 * -1 + -3t * -1) = -3(1 + -3t)
5 + (-1 + 3t) = -3(1 + -3t)

Combine like terms: 5 + -1 = 4
4 + 3t = -3(1 + -3t)
4 + 3t = (1 * -3 + -3t * -3)
4 + 3t = (-3 + 9t)

Solving
4 + 3t = -3 + 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.
4 + 3t + -9t = -3 + 9t + -9t

Combine like terms: 3t + -9t = -6t
4 + -6t = -3 + 9t + -9t

Combine like terms: 9t + -9t = 0
4 + -6t = -3 + 0
4 + -6t = -3

Add '-4' to each side of the equation.
4 + -4 + -6t = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -6t = -3 + -4
-6t = -3 + -4

Combine like terms: -3 + -4 = -7
-6t = -7

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

Simplifying
t = 1.166666667

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