30=3r-2(r-7)

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Solution for 30=3r-2(r-7) equation: 


Simplifying
30 = 3r + -2(r + -7)

Reorder the terms:
30 = 3r + -2(-7 + r)
30 = 3r + (-7 * -2 + r * -2)
30 = 3r + (14 + -2r)

Reorder the terms:
30 = 14 + 3r + -2r

Combine like terms: 3r + -2r = 1r
30 = 14 + 1r

Solving
30 = 14 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
30 + -1r = 14 + 1r + -1r

Combine like terms: 1r + -1r = 0
30 + -1r = 14 + 0
30 + -1r = 14

Add '-30' to each side of the equation.
30 + -30 + -1r = 14 + -30

Combine like terms: 30 + -30 = 0
0 + -1r = 14 + -30
-1r = 14 + -30

Combine like terms: 14 + -30 = -16
-1r = -16

Divide each side by '-1'.
r = 16

Simplifying
r = 16

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