-7r-30=-6-5(3r+7)

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Solution for -7r-30=-6-5(3r+7) equation:


Simplifying
-7r + -30 = -6 + -5(3r + 7)

Reorder the terms:
-30 + -7r = -6 + -5(3r + 7)

Reorder the terms:
-30 + -7r = -6 + -5(7 + 3r)
-30 + -7r = -6 + (7 * -5 + 3r * -5)
-30 + -7r = -6 + (-35 + -15r)

Combine like terms: -6 + -35 = -41
-30 + -7r = -41 + -15r

Solving
-30 + -7r = -41 + -15r

Solving for variable 'r'.

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

Add '15r' to each side of the equation.
-30 + -7r + 15r = -41 + -15r + 15r

Combine like terms: -7r + 15r = 8r
-30 + 8r = -41 + -15r + 15r

Combine like terms: -15r + 15r = 0
-30 + 8r = -41 + 0
-30 + 8r = -41

Add '30' to each side of the equation.
-30 + 30 + 8r = -41 + 30

Combine like terms: -30 + 30 = 0
0 + 8r = -41 + 30
8r = -41 + 30

Combine like terms: -41 + 30 = -11
8r = -11

Divide each side by '8'.
r = -1.375

Simplifying
r = -1.375

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