252=-r+5(6r+4)

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Solution for 252=-r+5(6r+4) equation:


Simplifying
252 = -1r + 5(6r + 4)

Reorder the terms:
252 = -1r + 5(4 + 6r)
252 = -1r + (4 * 5 + 6r * 5)
252 = -1r + (20 + 30r)

Reorder the terms:
252 = 20 + -1r + 30r

Combine like terms: -1r + 30r = 29r
252 = 20 + 29r

Solving
252 = 20 + 29r

Solving for variable 'r'.

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

Add '-29r' to each side of the equation.
252 + -29r = 20 + 29r + -29r

Combine like terms: 29r + -29r = 0
252 + -29r = 20 + 0
252 + -29r = 20

Add '-252' to each side of the equation.
252 + -252 + -29r = 20 + -252

Combine like terms: 252 + -252 = 0
0 + -29r = 20 + -252
-29r = 20 + -252

Combine like terms: 20 + -252 = -232
-29r = -232

Divide each side by '-29'.
r = 8

Simplifying
r = 8

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