5r+2=3(4-r)

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


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

Reorder the terms:
2 + 5r = 3(4 + -1r)
2 + 5r = (4 * 3 + -1r * 3)
2 + 5r = (12 + -3r)

Solving
2 + 5r = 12 + -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.
2 + 5r + 3r = 12 + -3r + 3r

Combine like terms: 5r + 3r = 8r
2 + 8r = 12 + -3r + 3r

Combine like terms: -3r + 3r = 0
2 + 8r = 12 + 0
2 + 8r = 12

Add '-2' to each side of the equation.
2 + -2 + 8r = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 8r = 12 + -2
8r = 12 + -2

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

Divide each side by '8'.
r = 1.25

Simplifying
r = 1.25

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