10+2r=6-6(7r-8)

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Solution for 10+2r=6-6(7r-8) equation: 


Simplifying
10 + 2r = 6 + -6(7r + -8)

Reorder the terms:
10 + 2r = 6 + -6(-8 + 7r)
10 + 2r = 6 + (-8 * -6 + 7r * -6)
10 + 2r = 6 + (48 + -42r)

Combine like terms: 6 + 48 = 54
10 + 2r = 54 + -42r

Solving
10 + 2r = 54 + -42r

Solving for variable 'r'.

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

Add '42r' to each side of the equation.
10 + 2r + 42r = 54 + -42r + 42r

Combine like terms: 2r + 42r = 44r
10 + 44r = 54 + -42r + 42r

Combine like terms: -42r + 42r = 0
10 + 44r = 54 + 0
10 + 44r = 54

Add '-10' to each side of the equation.
10 + -10 + 44r = 54 + -10

Combine like terms: 10 + -10 = 0
0 + 44r = 54 + -10
44r = 54 + -10

Combine like terms: 54 + -10 = 44
44r = 44

Divide each side by '44'.
r = 1

Simplifying
r = 1

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