10r+2=3(r+4)

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


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

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

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

Solving
2 + 10r = 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 + 10r + -3r = 12 + 3r + -3r

Combine like terms: 10r + -3r = 7r
2 + 7r = 12 + 3r + -3r

Combine like terms: 3r + -3r = 0
2 + 7r = 12 + 0
2 + 7r = 12

Add '-2' to each side of the equation.
2 + -2 + 7r = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 7r = 12 + -2
7r = 12 + -2

Combine like terms: 12 + -2 = 10
7r = 10

Divide each side by '7'.
r = 1.428571429

Simplifying
r = 1.428571429

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