3g+4(-7+2g)=1-g

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Solution for 3g+4(-7+2g)=1-g equation:


Simplifying
3g + 4(-7 + 2g) = 1 + -1g
3g + (-7 * 4 + 2g * 4) = 1 + -1g
3g + (-28 + 8g) = 1 + -1g

Reorder the terms:
-28 + 3g + 8g = 1 + -1g

Combine like terms: 3g + 8g = 11g
-28 + 11g = 1 + -1g

Solving
-28 + 11g = 1 + -1g

Solving for variable 'g'.

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

Add 'g' to each side of the equation.
-28 + 11g + g = 1 + -1g + g

Combine like terms: 11g + g = 12g
-28 + 12g = 1 + -1g + g

Combine like terms: -1g + g = 0
-28 + 12g = 1 + 0
-28 + 12g = 1

Add '28' to each side of the equation.
-28 + 28 + 12g = 1 + 28

Combine like terms: -28 + 28 = 0
0 + 12g = 1 + 28
12g = 1 + 28

Combine like terms: 1 + 28 = 29
12g = 29

Divide each side by '12'.
g = 2.416666667

Simplifying
g = 2.416666667

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