-27.8=3(g-4.8)+0.4

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Solution for -27.8=3(g-4.8)+0.4 equation:


Simplifying
-27.8 = 3(g + -4.8) + 0.4

Reorder the terms:
-27.8 = 3(-4.8 + g) + 0.4
-27.8 = (-4.8 * 3 + g * 3) + 0.4
-27.8 = (-14.4 + 3g) + 0.4

Reorder the terms:
-27.8 = -14.4 + 0.4 + 3g

Combine like terms: -14.4 + 0.4 = -14
-27.8 = -14 + 3g

Solving
-27.8 = -14 + 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.
-27.8 + -3g = -14 + 3g + -3g

Combine like terms: 3g + -3g = 0
-27.8 + -3g = -14 + 0
-27.8 + -3g = -14

Add '27.8' to each side of the equation.
-27.8 + 27.8 + -3g = -14 + 27.8

Combine like terms: -27.8 + 27.8 = 0.0
0.0 + -3g = -14 + 27.8
-3g = -14 + 27.8

Combine like terms: -14 + 27.8 = 13.8
-3g = 13.8

Divide each side by '-3'.
g = -4.6

Simplifying
g = -4.6

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