6(j-7)+3(g-2)=37

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Solution for 6(j-7)+3(g-2)=37 equation: 


Simplifying
6(j + -7) + 3(g + -2) = 37

Reorder the terms:
6(-7 + j) + 3(g + -2) = 37
(-7 * 6 + j * 6) + 3(g + -2) = 37
(-42 + 6j) + 3(g + -2) = 37

Reorder the terms:
-42 + 6j + 3(-2 + g) = 37
-42 + 6j + (-2 * 3 + g * 3) = 37
-42 + 6j + (-6 + 3g) = 37

Reorder the terms:
-42 + -6 + 3g + 6j = 37

Combine like terms: -42 + -6 = -48
-48 + 3g + 6j = 37

Solving
-48 + 3g + 6j = 37

Solving for variable 'g'.

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

Add '48' to each side of the equation.
-48 + 3g + 48 + 6j = 37 + 48

Reorder the terms:
-48 + 48 + 3g + 6j = 37 + 48

Combine like terms: -48 + 48 = 0
0 + 3g + 6j = 37 + 48
3g + 6j = 37 + 48

Combine like terms: 37 + 48 = 85
3g + 6j = 85

Add '-6j' to each side of the equation.
3g + 6j + -6j = 85 + -6j

Combine like terms: 6j + -6j = 0
3g + 0 = 85 + -6j
3g = 85 + -6j

Divide each side by '3'.
g = 28.33333333 + -2j

Simplifying
g = 28.33333333 + -2j

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