1-3(2c+d)+4(c-4d)=

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Solution for 1-3(2c+d)+4(c-4d)= equation: 


Simplifying
1 + -3(2c + d) + 4(c + -4d) = 0
1 + (2c * -3 + d * -3) + 4(c + -4d) = 0
1 + (-6c + -3d) + 4(c + -4d) = 0
1 + -6c + -3d + (c * 4 + -4d * 4) = 0
1 + -6c + -3d + (4c + -16d) = 0

Reorder the terms:
1 + -6c + 4c + -3d + -16d = 0

Combine like terms: -6c + 4c = -2c
1 + -2c + -3d + -16d = 0

Combine like terms: -3d + -16d = -19d
1 + -2c + -19d = 0

Solving
1 + -2c + -19d = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -2c + -1 + -19d = 0 + -1

Reorder the terms:
1 + -1 + -2c + -19d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2c + -19d = 0 + -1
-2c + -19d = 0 + -1

Combine like terms: 0 + -1 = -1
-2c + -19d = -1

Add '19d' to each side of the equation.
-2c + -19d + 19d = -1 + 19d

Combine like terms: -19d + 19d = 0
-2c + 0 = -1 + 19d
-2c = -1 + 19d

Divide each side by '-2'.
c = 0.5 + -9.5d

Simplifying
c = 0.5 + -9.5d

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