8c+8(3c)+8(c+5)=1000

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Solution for 8c+8(3c)+8(c+5)=1000 equation:


Simplifying
8c + 8(3c) + 8(c + 5) = 1000

Remove parenthesis around (3c)
8c + 8 * 3c + 8(c + 5) = 1000

Multiply 8 * 3
8c + 24c + 8(c + 5) = 1000

Reorder the terms:
8c + 24c + 8(5 + c) = 1000
8c + 24c + (5 * 8 + c * 8) = 1000
8c + 24c + (40 + 8c) = 1000

Reorder the terms:
40 + 8c + 24c + 8c = 1000

Combine like terms: 8c + 24c = 32c
40 + 32c + 8c = 1000

Combine like terms: 32c + 8c = 40c
40 + 40c = 1000

Solving
40 + 40c = 1000

Solving for variable 'c'.

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

Add '-40' to each side of the equation.
40 + -40 + 40c = 1000 + -40

Combine like terms: 40 + -40 = 0
0 + 40c = 1000 + -40
40c = 1000 + -40

Combine like terms: 1000 + -40 = 960
40c = 960

Divide each side by '40'.
c = 24

Simplifying
c = 24

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