7(r+6)=-3r-38

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Solution for 7(r+6)=-3r-38 equation:


Simplifying
7(r + 6) = -3r + -38

Reorder the terms:
7(6 + r) = -3r + -38
(6 * 7 + r * 7) = -3r + -38
(42 + 7r) = -3r + -38

Reorder the terms:
42 + 7r = -38 + -3r

Solving
42 + 7r = -38 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
42 + 7r + 3r = -38 + -3r + 3r

Combine like terms: 7r + 3r = 10r
42 + 10r = -38 + -3r + 3r

Combine like terms: -3r + 3r = 0
42 + 10r = -38 + 0
42 + 10r = -38

Add '-42' to each side of the equation.
42 + -42 + 10r = -38 + -42

Combine like terms: 42 + -42 = 0
0 + 10r = -38 + -42
10r = -38 + -42

Combine like terms: -38 + -42 = -80
10r = -80

Divide each side by '10'.
r = -8

Simplifying
r = -8

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