37+6r=-7(1+5r)-3r

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Solution for 37+6r=-7(1+5r)-3r equation:


Simplifying
37 + 6r = -7(1 + 5r) + -3r
37 + 6r = (1 * -7 + 5r * -7) + -3r
37 + 6r = (-7 + -35r) + -3r

Combine like terms: -35r + -3r = -38r
37 + 6r = -7 + -38r

Solving
37 + 6r = -7 + -38r

Solving for variable 'r'.

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

Add '38r' to each side of the equation.
37 + 6r + 38r = -7 + -38r + 38r

Combine like terms: 6r + 38r = 44r
37 + 44r = -7 + -38r + 38r

Combine like terms: -38r + 38r = 0
37 + 44r = -7 + 0
37 + 44r = -7

Add '-37' to each side of the equation.
37 + -37 + 44r = -7 + -37

Combine like terms: 37 + -37 = 0
0 + 44r = -7 + -37
44r = -7 + -37

Combine like terms: -7 + -37 = -44
44r = -44

Divide each side by '44'.
r = -1

Simplifying
r = -1

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