0.3j+1.8=0.4(j+5)-0.2

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Solution for 0.3j+1.8=0.4(j+5)-0.2 equation:


Simplifying
0.3j + 1.8 = 0.4(j + 5) + -0.2

Reorder the terms:
1.8 + 0.3j = 0.4(j + 5) + -0.2

Reorder the terms:
1.8 + 0.3j = 0.4(5 + j) + -0.2
1.8 + 0.3j = (5 * 0.4 + j * 0.4) + -0.2
1.8 + 0.3j = (2 + 0.4j) + -0.2

Reorder the terms:
1.8 + 0.3j = 2 + -0.2 + 0.4j

Combine like terms: 2 + -0.2 = 1.8
1.8 + 0.3j = 1.8 + 0.4j

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.3j = 1.8 + -1.8 + 0.4j

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.3j = 1.8 + -1.8 + 0.4j
0.3j = 1.8 + -1.8 + 0.4j

Combine like terms: 1.8 + -1.8 = 0.0
0.3j = 0.0 + 0.4j
0.3j = 0.4j

Solving
0.3j = 0.4j

Solving for variable 'j'.

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

Add '-0.4j' to each side of the equation.
0.3j + -0.4j = 0.4j + -0.4j

Combine like terms: 0.3j + -0.4j = -0.1j
-0.1j = 0.4j + -0.4j

Combine like terms: 0.4j + -0.4j = 0.0
-0.1j = 0.0

Divide each side by '-0.1'.
j = 0

Simplifying
j = 0

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