5+6(8r-6)=10+7r

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Solution for 5+6(8r-6)=10+7r equation: 


Simplifying
5 + 6(8r + -6) = 10 + 7r

Reorder the terms:
5 + 6(-6 + 8r) = 10 + 7r
5 + (-6 * 6 + 8r * 6) = 10 + 7r
5 + (-36 + 48r) = 10 + 7r

Combine like terms: 5 + -36 = -31
-31 + 48r = 10 + 7r

Solving
-31 + 48r = 10 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-31 + 48r + -7r = 10 + 7r + -7r

Combine like terms: 48r + -7r = 41r
-31 + 41r = 10 + 7r + -7r

Combine like terms: 7r + -7r = 0
-31 + 41r = 10 + 0
-31 + 41r = 10

Add '31' to each side of the equation.
-31 + 31 + 41r = 10 + 31

Combine like terms: -31 + 31 = 0
0 + 41r = 10 + 31
41r = 10 + 31

Combine like terms: 10 + 31 = 41
41r = 41

Divide each side by '41'.
r = 1

Simplifying
r = 1

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