-7(7c-6)+8(7c-1)=-c+9(c+10)

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Solution for -7(7c-6)+8(7c-1)=-c+9(c+10) equation:


Simplifying
-7(7c + -6) + 8(7c + -1) = -1c + 9(c + 10)

Reorder the terms:
-7(-6 + 7c) + 8(7c + -1) = -1c + 9(c + 10)
(-6 * -7 + 7c * -7) + 8(7c + -1) = -1c + 9(c + 10)
(42 + -49c) + 8(7c + -1) = -1c + 9(c + 10)

Reorder the terms:
42 + -49c + 8(-1 + 7c) = -1c + 9(c + 10)
42 + -49c + (-1 * 8 + 7c * 8) = -1c + 9(c + 10)
42 + -49c + (-8 + 56c) = -1c + 9(c + 10)

Reorder the terms:
42 + -8 + -49c + 56c = -1c + 9(c + 10)

Combine like terms: 42 + -8 = 34
34 + -49c + 56c = -1c + 9(c + 10)

Combine like terms: -49c + 56c = 7c
34 + 7c = -1c + 9(c + 10)

Reorder the terms:
34 + 7c = -1c + 9(10 + c)
34 + 7c = -1c + (10 * 9 + c * 9)
34 + 7c = -1c + (90 + 9c)

Reorder the terms:
34 + 7c = 90 + -1c + 9c

Combine like terms: -1c + 9c = 8c
34 + 7c = 90 + 8c

Solving
34 + 7c = 90 + 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.
34 + 7c + -8c = 90 + 8c + -8c

Combine like terms: 7c + -8c = -1c
34 + -1c = 90 + 8c + -8c

Combine like terms: 8c + -8c = 0
34 + -1c = 90 + 0
34 + -1c = 90

Add '-34' to each side of the equation.
34 + -34 + -1c = 90 + -34

Combine like terms: 34 + -34 = 0
0 + -1c = 90 + -34
-1c = 90 + -34

Combine like terms: 90 + -34 = 56
-1c = 56

Divide each side by '-1'.
c = -56

Simplifying
c = -56

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