8r-10=-4(r-3)+2

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Solution for 8r-10=-4(r-3)+2 equation:


Simplifying
8r + -10 = -4(r + -3) + 2

Reorder the terms:
-10 + 8r = -4(r + -3) + 2

Reorder the terms:
-10 + 8r = -4(-3 + r) + 2
-10 + 8r = (-3 * -4 + r * -4) + 2
-10 + 8r = (12 + -4r) + 2

Reorder the terms:
-10 + 8r = 12 + 2 + -4r

Combine like terms: 12 + 2 = 14
-10 + 8r = 14 + -4r

Solving
-10 + 8r = 14 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
-10 + 8r + 4r = 14 + -4r + 4r

Combine like terms: 8r + 4r = 12r
-10 + 12r = 14 + -4r + 4r

Combine like terms: -4r + 4r = 0
-10 + 12r = 14 + 0
-10 + 12r = 14

Add '10' to each side of the equation.
-10 + 10 + 12r = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 12r = 14 + 10
12r = 14 + 10

Combine like terms: 14 + 10 = 24
12r = 24

Divide each side by '12'.
r = 2

Simplifying
r = 2

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