56=7r-5r+10

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Solution for 56=7r-5r+10 equation:


Simplifying
56 = 7r + -5r + 10

Reorder the terms:
56 = 10 + 7r + -5r

Combine like terms: 7r + -5r = 2r
56 = 10 + 2r

Solving
56 = 10 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
56 + -2r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
56 + -2r = 10 + 0
56 + -2r = 10

Add '-56' to each side of the equation.
56 + -56 + -2r = 10 + -56

Combine like terms: 56 + -56 = 0
0 + -2r = 10 + -56
-2r = 10 + -56

Combine like terms: 10 + -56 = -46
-2r = -46

Divide each side by '-2'.
r = 23

Simplifying
r = 23

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