2=r-6+3+10-8

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Solution for 2=r-6+3+10-8 equation:


Simplifying
2 = r + -6 + 3 + 10 + -8

Reorder the terms:
2 = -6 + 3 + 10 + -8 + r

Combine like terms: -6 + 3 = -3
2 = -3 + 10 + -8 + r

Combine like terms: -3 + 10 = 7
2 = 7 + -8 + r

Combine like terms: 7 + -8 = -1
2 = -1 + r

Solving
2 = -1 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
2 + -1r = -1 + r + -1r

Combine like terms: r + -1r = 0
2 + -1r = -1 + 0
2 + -1r = -1

Add '-2' to each side of the equation.
2 + -2 + -1r = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -1r = -1 + -2
-1r = -1 + -2

Combine like terms: -1 + -2 = -3
-1r = -3

Divide each side by '-1'.
r = 3

Simplifying
r = 3

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