-37-2r=-3r-6(r-2)

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Solution for -37-2r=-3r-6(r-2) equation:


Simplifying
-37 + -2r = -3r + -6(r + -2)

Reorder the terms:
-37 + -2r = -3r + -6(-2 + r)
-37 + -2r = -3r + (-2 * -6 + r * -6)
-37 + -2r = -3r + (12 + -6r)

Reorder the terms:
-37 + -2r = 12 + -3r + -6r

Combine like terms: -3r + -6r = -9r
-37 + -2r = 12 + -9r

Solving
-37 + -2r = 12 + -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
-37 + -2r + 9r = 12 + -9r + 9r

Combine like terms: -2r + 9r = 7r
-37 + 7r = 12 + -9r + 9r

Combine like terms: -9r + 9r = 0
-37 + 7r = 12 + 0
-37 + 7r = 12

Add '37' to each side of the equation.
-37 + 37 + 7r = 12 + 37

Combine like terms: -37 + 37 = 0
0 + 7r = 12 + 37
7r = 12 + 37

Combine like terms: 12 + 37 = 49
7r = 49

Divide each side by '7'.
r = 7

Simplifying
r = 7

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