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

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


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

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

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

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

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

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

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

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

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

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

Solving
3G + 7t = 9t

Solving for variable 'G'.

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

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

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

Combine like terms: 9t + -7t = 2t
3G = 2t

Divide each side by '3'.
G = 0.6666666667t

Simplifying
G = 0.6666666667t

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