6(5r-7)+5=19+2r

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Solution for 6(5r-7)+5=19+2r equation:


Simplifying
6(5r + -7) + 5 = 19 + 2r

Reorder the terms:
6(-7 + 5r) + 5 = 19 + 2r
(-7 * 6 + 5r * 6) + 5 = 19 + 2r
(-42 + 30r) + 5 = 19 + 2r

Reorder the terms:
-42 + 5 + 30r = 19 + 2r

Combine like terms: -42 + 5 = -37
-37 + 30r = 19 + 2r

Solving
-37 + 30r = 19 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-37 + 30r + -2r = 19 + 2r + -2r

Combine like terms: 30r + -2r = 28r
-37 + 28r = 19 + 2r + -2r

Combine like terms: 2r + -2r = 0
-37 + 28r = 19 + 0
-37 + 28r = 19

Add '37' to each side of the equation.
-37 + 37 + 28r = 19 + 37

Combine like terms: -37 + 37 = 0
0 + 28r = 19 + 37
28r = 19 + 37

Combine like terms: 19 + 37 = 56
28r = 56

Divide each side by '28'.
r = 2

Simplifying
r = 2

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