7-0.5(j-3)=0.8(j-3)

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Solution for 7-0.5(j-3)=0.8(j-3) equation:


Simplifying
7 + -0.5(j + -3) = 0.8(j + -3)

Reorder the terms:
7 + -0.5(-3 + j) = 0.8(j + -3)
7 + (-3 * -0.5 + j * -0.5) = 0.8(j + -3)
7 + (1.5 + -0.5j) = 0.8(j + -3)

Combine like terms: 7 + 1.5 = 8.5
8.5 + -0.5j = 0.8(j + -3)

Reorder the terms:
8.5 + -0.5j = 0.8(-3 + j)
8.5 + -0.5j = (-3 * 0.8 + j * 0.8)
8.5 + -0.5j = (-2.4 + 0.8j)

Solving
8.5 + -0.5j = -2.4 + 0.8j

Solving for variable 'j'.

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

Add '-0.8j' to each side of the equation.
8.5 + -0.5j + -0.8j = -2.4 + 0.8j + -0.8j

Combine like terms: -0.5j + -0.8j = -1.3j
8.5 + -1.3j = -2.4 + 0.8j + -0.8j

Combine like terms: 0.8j + -0.8j = 0.0
8.5 + -1.3j = -2.4 + 0.0
8.5 + -1.3j = -2.4

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -1.3j = -2.4 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -1.3j = -2.4 + -8.5
-1.3j = -2.4 + -8.5

Combine like terms: -2.4 + -8.5 = -10.9
-1.3j = -10.9

Divide each side by '-1.3'.
j = 8.384615385

Simplifying
j = 8.384615385

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