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

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


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

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

Combine like terms: 4r + -2r = 2r
8 + 2r = 10 + 3(r + -3)

Reorder the terms:
8 + 2r = 10 + 3(-3 + r)
8 + 2r = 10 + (-3 * 3 + r * 3)
8 + 2r = 10 + (-9 + 3r)

Combine like terms: 10 + -9 = 1
8 + 2r = 1 + 3r

Solving
8 + 2r = 1 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
8 + 2r + -3r = 1 + 3r + -3r

Combine like terms: 2r + -3r = -1r
8 + -1r = 1 + 3r + -3r

Combine like terms: 3r + -3r = 0
8 + -1r = 1 + 0
8 + -1r = 1

Add '-8' to each side of the equation.
8 + -8 + -1r = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 1 + -8
-1r = 1 + -8

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

Divide each side by '-1'.
r = 7

Simplifying
r = 7

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