17+3*(15-c)=(4-c)-2*(5-c)

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Solution for 17+3*(15-c)=(4-c)-2*(5-c) equation:


Simplifying
17 + 3(15 + -1c) = (4 + -1c) + -2(5 + -1c)
17 + (15 * 3 + -1c * 3) = (4 + -1c) + -2(5 + -1c)
17 + (45 + -3c) = (4 + -1c) + -2(5 + -1c)

Combine like terms: 17 + 45 = 62
62 + -3c = (4 + -1c) + -2(5 + -1c)

Remove parenthesis around (4 + -1c)
62 + -3c = 4 + -1c + -2(5 + -1c)
62 + -3c = 4 + -1c + (5 * -2 + -1c * -2)
62 + -3c = 4 + -1c + (-10 + 2c)

Reorder the terms:
62 + -3c = 4 + -10 + -1c + 2c

Combine like terms: 4 + -10 = -6
62 + -3c = -6 + -1c + 2c

Combine like terms: -1c + 2c = 1c
62 + -3c = -6 + 1c

Solving
62 + -3c = -6 + 1c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
62 + -3c + -1c = -6 + 1c + -1c

Combine like terms: -3c + -1c = -4c
62 + -4c = -6 + 1c + -1c

Combine like terms: 1c + -1c = 0
62 + -4c = -6 + 0
62 + -4c = -6

Add '-62' to each side of the equation.
62 + -62 + -4c = -6 + -62

Combine like terms: 62 + -62 = 0
0 + -4c = -6 + -62
-4c = -6 + -62

Combine like terms: -6 + -62 = -68
-4c = -68

Divide each side by '-4'.
c = 17

Simplifying
c = 17

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