.02g+3(3+2g)=3(1g-2)

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Solution for .02g+3(3+2g)=3(1g-2) equation:


Simplifying
0.02g + 3(3 + 2g) = 3(1g + -2)
0.02g + (3 * 3 + 2g * 3) = 3(1g + -2)
0.02g + (9 + 6g) = 3(1g + -2)

Reorder the terms:
9 + 0.02g + 6g = 3(1g + -2)

Combine like terms: 0.02g + 6g = 6.02g
9 + 6.02g = 3(1g + -2)

Reorder the terms:
9 + 6.02g = 3(-2 + 1g)
9 + 6.02g = (-2 * 3 + 1g * 3)
9 + 6.02g = (-6 + 3g)

Solving
9 + 6.02g = -6 + 3g

Solving for variable 'g'.

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

Add '-3g' to each side of the equation.
9 + 6.02g + -3g = -6 + 3g + -3g

Combine like terms: 6.02g + -3g = 3.02g
9 + 3.02g = -6 + 3g + -3g

Combine like terms: 3g + -3g = 0
9 + 3.02g = -6 + 0
9 + 3.02g = -6

Add '-9' to each side of the equation.
9 + -9 + 3.02g = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 3.02g = -6 + -9
3.02g = -6 + -9

Combine like terms: -6 + -9 = -15
3.02g = -15

Divide each side by '3.02'.
g = -4.966887417

Simplifying
g = -4.966887417

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