5g+3[-7+3g]=1-g

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Solution for 5g+3[-7+3g]=1-g equation:


Simplifying
5g + 3[-7 + 3g] = 1 + -1g
5g + [-7 * 3 + 3g * 3] = 1 + -1g
5g + [-21 + 9g] = 1 + -1g

Reorder the terms:
-21 + 5g + 9g = 1 + -1g

Combine like terms: 5g + 9g = 14g
-21 + 14g = 1 + -1g

Solving
-21 + 14g = 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.
-21 + 14g + g = 1 + -1g + g

Combine like terms: 14g + g = 15g
-21 + 15g = 1 + -1g + g

Combine like terms: -1g + g = 0
-21 + 15g = 1 + 0
-21 + 15g = 1

Add '21' to each side of the equation.
-21 + 21 + 15g = 1 + 21

Combine like terms: -21 + 21 = 0
0 + 15g = 1 + 21
15g = 1 + 21

Combine like terms: 1 + 21 = 22
15g = 22

Divide each side by '15'.
g = 1.466666667

Simplifying
g = 1.466666667

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