8(2c-6)=7c+24

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Solution for 8(2c-6)=7c+24 equation:


Simplifying
8(2c + -6) = 7c + 24

Reorder the terms:
8(-6 + 2c) = 7c + 24
(-6 * 8 + 2c * 8) = 7c + 24
(-48 + 16c) = 7c + 24

Reorder the terms:
-48 + 16c = 24 + 7c

Solving
-48 + 16c = 24 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
-48 + 16c + -7c = 24 + 7c + -7c

Combine like terms: 16c + -7c = 9c
-48 + 9c = 24 + 7c + -7c

Combine like terms: 7c + -7c = 0
-48 + 9c = 24 + 0
-48 + 9c = 24

Add '48' to each side of the equation.
-48 + 48 + 9c = 24 + 48

Combine like terms: -48 + 48 = 0
0 + 9c = 24 + 48
9c = 24 + 48

Combine like terms: 24 + 48 = 72
9c = 72

Divide each side by '9'.
c = 8

Simplifying
c = 8

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