(-5+5n)(-6)-(7-4d)(-2)=

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Solution for (-5+5n)(-6)-(7-4d)(-2)= equation:


Simplifying
(-5 + 5n)(-6) + -1(7 + -4d)(-2) = 0

Reorder the terms for easier multiplication:
-6(-5 + 5n) + -1(7 + -4d)(-2) = 0
(-5 * -6 + 5n * -6) + -1(7 + -4d)(-2) = 0
(30 + -30n) + -1(7 + -4d)(-2) = 0

Reorder the terms for easier multiplication:
30 + -30n + -1 * -2(7 + -4d) = 0

Multiply -1 * -2
30 + -30n + 2(7 + -4d) = 0
30 + -30n + (7 * 2 + -4d * 2) = 0
30 + -30n + (14 + -8d) = 0

Reorder the terms:
30 + 14 + -8d + -30n = 0

Combine like terms: 30 + 14 = 44
44 + -8d + -30n = 0

Solving
44 + -8d + -30n = 0

Solving for variable 'd'.

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

Add '-44' to each side of the equation.
44 + -8d + -44 + -30n = 0 + -44

Reorder the terms:
44 + -44 + -8d + -30n = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -8d + -30n = 0 + -44
-8d + -30n = 0 + -44

Combine like terms: 0 + -44 = -44
-8d + -30n = -44

Add '30n' to each side of the equation.
-8d + -30n + 30n = -44 + 30n

Combine like terms: -30n + 30n = 0
-8d + 0 = -44 + 30n
-8d = -44 + 30n

Divide each side by '-8'.
d = 5.5 + -3.75n

Simplifying
d = 5.5 + -3.75n

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