3.5(j+2)=1.4(16+j)

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Solution for 3.5(j+2)=1.4(16+j) equation:


Simplifying
3.5(j + 2) = 1.4(16 + j)

Reorder the terms:
3.5(2 + j) = 1.4(16 + j)
(2 * 3.5 + j * 3.5) = 1.4(16 + j)
(7 + 3.5j) = 1.4(16 + j)
7 + 3.5j = (16 * 1.4 + j * 1.4)
7 + 3.5j = (22.4 + 1.4j)

Solving
7 + 3.5j = 22.4 + 1.4j

Solving for variable 'j'.

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

Add '-1.4j' to each side of the equation.
7 + 3.5j + -1.4j = 22.4 + 1.4j + -1.4j

Combine like terms: 3.5j + -1.4j = 2.1j
7 + 2.1j = 22.4 + 1.4j + -1.4j

Combine like terms: 1.4j + -1.4j = 0.0
7 + 2.1j = 22.4 + 0.0
7 + 2.1j = 22.4

Add '-7' to each side of the equation.
7 + -7 + 2.1j = 22.4 + -7

Combine like terms: 7 + -7 = 0
0 + 2.1j = 22.4 + -7
2.1j = 22.4 + -7

Combine like terms: 22.4 + -7 = 15.4
2.1j = 15.4

Divide each side by '2.1'.
j = 7.333333333

Simplifying
j = 7.333333333

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