36-2(c-28)=-4(2c+52)

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Solution for 36-2(c-28)=-4(2c+52) equation:


Simplifying
36 + -2(c + -28) = -4(2c + 52)

Reorder the terms:
36 + -2(-28 + c) = -4(2c + 52)
36 + (-28 * -2 + c * -2) = -4(2c + 52)
36 + (56 + -2c) = -4(2c + 52)

Combine like terms: 36 + 56 = 92
92 + -2c = -4(2c + 52)

Reorder the terms:
92 + -2c = -4(52 + 2c)
92 + -2c = (52 * -4 + 2c * -4)
92 + -2c = (-208 + -8c)

Solving
92 + -2c = -208 + -8c

Solving for variable 'c'.

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

Add '8c' to each side of the equation.
92 + -2c + 8c = -208 + -8c + 8c

Combine like terms: -2c + 8c = 6c
92 + 6c = -208 + -8c + 8c

Combine like terms: -8c + 8c = 0
92 + 6c = -208 + 0
92 + 6c = -208

Add '-92' to each side of the equation.
92 + -92 + 6c = -208 + -92

Combine like terms: 92 + -92 = 0
0 + 6c = -208 + -92
6c = -208 + -92

Combine like terms: -208 + -92 = -300
6c = -300

Divide each side by '6'.
c = -50

Simplifying
c = -50

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