5R-2(r-5)=22

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Solution for 5R-2(r-5)=22 equation:


Simplifying
5R + -2(r + -5) = 22

Reorder the terms:
5R + -2(-5 + r) = 22
5R + (-5 * -2 + r * -2) = 22
5R + (10 + -2r) = 22

Reorder the terms:
10 + 5R + -2r = 22

Solving
10 + 5R + -2r = 22

Solving for variable 'R'.

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

Add '-10' to each side of the equation.
10 + 5R + -10 + -2r = 22 + -10

Reorder the terms:
10 + -10 + 5R + -2r = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 5R + -2r = 22 + -10
5R + -2r = 22 + -10

Combine like terms: 22 + -10 = 12
5R + -2r = 12

Add '2r' to each side of the equation.
5R + -2r + 2r = 12 + 2r

Combine like terms: -2r + 2r = 0
5R + 0 = 12 + 2r
5R = 12 + 2r

Divide each side by '5'.
R = 2.4 + 0.4r

Simplifying
R = 2.4 + 0.4r

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