-5(2c+3d)+3(-2c)-(-8d)=

Solution for -5(2c+3d)+3(-2c)-(-8d)= equation:

Simplifying
-5(2c + 3d) + 3(-2c) + -1(-8d) = 0
(2c * -5 + 3d * -5) + 3(-2c) + -1(-8d) = 0
(-10c + -15d) + 3(-2c) + -1(-8d) = 0

Remove parenthesis around (-2c)
-10c + -15d + 3 * -2c + -1(-8d) = 0

Multiply 3 * -2
-10c + -15d + -6c + -1(-8d) = 0

Remove parenthesis around (-8d)
-10c + -15d + -6c + -1 * -8d = 0

Multiply -1 * -8
-10c + -15d + -6c + 8d = 0

Reorder the terms:
-10c + -6c + -15d + 8d = 0

Combine like terms: -10c + -6c = -16c
-16c + -15d + 8d = 0

Combine like terms: -15d + 8d = -7d
-16c + -7d = 0

Solving
-16c + -7d = 0

Solving for variable 'c'.

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

Add '7d' to each side of the equation.
-16c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0
-16c + 0 = 0 + 7d
-16c = 0 + 7d
Remove the zero:
-16c = 7d

Divide each side by '-16'.
c = -0.4375d

Simplifying
c = -0.4375d