978=31(j+27)+17

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Solution for 978=31(j+27)+17 equation:


Simplifying
978 = 31(j + 27) + 17

Reorder the terms:
978 = 31(27 + j) + 17
978 = (27 * 31 + j * 31) + 17
978 = (837 + 31j) + 17

Reorder the terms:
978 = 837 + 17 + 31j

Combine like terms: 837 + 17 = 854
978 = 854 + 31j

Solving
978 = 854 + 31j

Solving for variable 'j'.

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

Add '-31j' to each side of the equation.
978 + -31j = 854 + 31j + -31j

Combine like terms: 31j + -31j = 0
978 + -31j = 854 + 0
978 + -31j = 854

Add '-978' to each side of the equation.
978 + -978 + -31j = 854 + -978

Combine like terms: 978 + -978 = 0
0 + -31j = 854 + -978
-31j = 854 + -978

Combine like terms: 854 + -978 = -124
-31j = -124

Divide each side by '-31'.
j = 4

Simplifying
j = 4

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