6+7(6+5r)=-36+7r

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Solution for 6+7(6+5r)=-36+7r equation: 


Simplifying
6 + 7(6 + 5r) = -36 + 7r
6 + (6 * 7 + 5r * 7) = -36 + 7r
6 + (42 + 35r) = -36 + 7r

Combine like terms: 6 + 42 = 48
48 + 35r = -36 + 7r

Solving
48 + 35r = -36 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
48 + 35r + -7r = -36 + 7r + -7r

Combine like terms: 35r + -7r = 28r
48 + 28r = -36 + 7r + -7r

Combine like terms: 7r + -7r = 0
48 + 28r = -36 + 0
48 + 28r = -36

Add '-48' to each side of the equation.
48 + -48 + 28r = -36 + -48

Combine like terms: 48 + -48 = 0
0 + 28r = -36 + -48
28r = -36 + -48

Combine like terms: -36 + -48 = -84
28r = -84

Divide each side by '28'.
r = -3

Simplifying
r = -3

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