5(2r+2)=4(3r-1)

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Solution for 5(2r+2)=4(3r-1) equation:


Simplifying
5(2r + 2) = 4(3r + -1)

Reorder the terms:
5(2 + 2r) = 4(3r + -1)
(2 * 5 + 2r * 5) = 4(3r + -1)
(10 + 10r) = 4(3r + -1)

Reorder the terms:
10 + 10r = 4(-1 + 3r)
10 + 10r = (-1 * 4 + 3r * 4)
10 + 10r = (-4 + 12r)

Solving
10 + 10r = -4 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
10 + 10r + -12r = -4 + 12r + -12r

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

Combine like terms: 12r + -12r = 0
10 + -2r = -4 + 0
10 + -2r = -4

Add '-10' to each side of the equation.
10 + -10 + -2r = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2r = -4 + -10
-2r = -4 + -10

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

Divide each side by '-2'.
r = 7

Simplifying
r = 7

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