7(8r-2)-8(3r+4)I=

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Solution for 7(8r-2)-8(3r+4)I= equation:


Simplifying
7(8r + -2) + -8(3r + 4) * I = 0

Reorder the terms:
7(-2 + 8r) + -8(3r + 4) * I = 0
(-2 * 7 + 8r * 7) + -8(3r + 4) * I = 0
(-14 + 56r) + -8(3r + 4) * I = 0

Reorder the terms:
-14 + 56r + -8(4 + 3r) * I = 0

Reorder the terms for easier multiplication:
-14 + 56r + -8I(4 + 3r) = 0
-14 + 56r + (4 * -8I + 3r * -8I) = 0
-14 + 56r + (-32I + -24rI) = 0

Reorder the terms:
-14 + -32I + 56r + -24rI = 0

Solving
-14 + -32I + 56r + -24rI = 0

Solving for variable 'I'.

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

Add '14' to each side of the equation.
-14 + -32I + 56r + 14 + -24rI = 0 + 14

Reorder the terms:
-14 + 14 + -32I + 56r + -24rI = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -32I + 56r + -24rI = 0 + 14
-32I + 56r + -24rI = 0 + 14

Combine like terms: 0 + 14 = 14
-32I + 56r + -24rI = 14

Add '-56r' to each side of the equation.
-32I + 56r + -56r + -24rI = 14 + -56r

Combine like terms: 56r + -56r = 0
-32I + 0 + -24rI = 14 + -56r
-32I + -24rI = 14 + -56r

Reorder the terms:
-14 + -32I + 56r + -24rI = 14 + -56r + -14 + 56r

Reorder the terms:
-14 + -32I + 56r + -24rI = 14 + -14 + -56r + 56r

Combine like terms: 14 + -14 = 0
-14 + -32I + 56r + -24rI = 0 + -56r + 56r
-14 + -32I + 56r + -24rI = -56r + 56r

Combine like terms: -56r + 56r = 0
-14 + -32I + 56r + -24rI = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + -16I + 28r + -12rI) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -16I + 28r + -12rI)' equal to zero and attempt to solve: Simplifying -7 + -16I + 28r + -12rI = 0 Solving -7 + -16I + 28r + -12rI = 0 Move all terms containing I to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -16I + 28r + 7 + -12rI = 0 + 7 Reorder the terms: -7 + 7 + -16I + 28r + -12rI = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -16I + 28r + -12rI = 0 + 7 -16I + 28r + -12rI = 0 + 7 Combine like terms: 0 + 7 = 7 -16I + 28r + -12rI = 7 Add '-28r' to each side of the equation. -16I + 28r + -28r + -12rI = 7 + -28r Combine like terms: 28r + -28r = 0 -16I + 0 + -12rI = 7 + -28r -16I + -12rI = 7 + -28r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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