4j-6(2j+1)=7j+24

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Solution for 4j-6(2j+1)=7j+24 equation:


Simplifying
4j + -6(2j + 1) = 7j + 24

Reorder the terms:
4j + -6(1 + 2j) = 7j + 24
4j + (1 * -6 + 2j * -6) = 7j + 24
4j + (-6 + -12j) = 7j + 24

Reorder the terms:
-6 + 4j + -12j = 7j + 24

Combine like terms: 4j + -12j = -8j
-6 + -8j = 7j + 24

Reorder the terms:
-6 + -8j = 24 + 7j

Solving
-6 + -8j = 24 + 7j

Solving for variable 'j'.

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

Add '-7j' to each side of the equation.
-6 + -8j + -7j = 24 + 7j + -7j

Combine like terms: -8j + -7j = -15j
-6 + -15j = 24 + 7j + -7j

Combine like terms: 7j + -7j = 0
-6 + -15j = 24 + 0
-6 + -15j = 24

Add '6' to each side of the equation.
-6 + 6 + -15j = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -15j = 24 + 6
-15j = 24 + 6

Combine like terms: 24 + 6 = 30
-15j = 30

Divide each side by '-15'.
j = -2

Simplifying
j = -2

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