4.5(j-4)=1.5(j+4)

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Solution for 4.5(j-4)=1.5(j+4) equation:


Simplifying
4.5(j + -4) = 1.5(j + 4)

Reorder the terms:
4.5(-4 + j) = 1.5(j + 4)
(-4 * 4.5 + j * 4.5) = 1.5(j + 4)
(-18 + 4.5j) = 1.5(j + 4)

Reorder the terms:
-18 + 4.5j = 1.5(4 + j)
-18 + 4.5j = (4 * 1.5 + j * 1.5)
-18 + 4.5j = (6 + 1.5j)

Solving
-18 + 4.5j = 6 + 1.5j

Solving for variable 'j'.

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

Add '-1.5j' to each side of the equation.
-18 + 4.5j + -1.5j = 6 + 1.5j + -1.5j

Combine like terms: 4.5j + -1.5j = 3j
-18 + 3j = 6 + 1.5j + -1.5j

Combine like terms: 1.5j + -1.5j = 0.0
-18 + 3j = 6 + 0.0
-18 + 3j = 6

Add '18' to each side of the equation.
-18 + 18 + 3j = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 3j = 6 + 18
3j = 6 + 18

Combine like terms: 6 + 18 = 24
3j = 24

Divide each side by '3'.
j = 8

Simplifying
j = 8

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