8(r+4)+9=2r-6

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Solution for 8(r+4)+9=2r-6 equation:


Simplifying
8(r + 4) + 9 = 2r + -6

Reorder the terms:
8(4 + r) + 9 = 2r + -6
(4 * 8 + r * 8) + 9 = 2r + -6
(32 + 8r) + 9 = 2r + -6

Reorder the terms:
32 + 9 + 8r = 2r + -6

Combine like terms: 32 + 9 = 41
41 + 8r = 2r + -6

Reorder the terms:
41 + 8r = -6 + 2r

Solving
41 + 8r = -6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
41 + 8r + -2r = -6 + 2r + -2r

Combine like terms: 8r + -2r = 6r
41 + 6r = -6 + 2r + -2r

Combine like terms: 2r + -2r = 0
41 + 6r = -6 + 0
41 + 6r = -6

Add '-41' to each side of the equation.
41 + -41 + 6r = -6 + -41

Combine like terms: 41 + -41 = 0
0 + 6r = -6 + -41
6r = -6 + -41

Combine like terms: -6 + -41 = -47
6r = -47

Divide each side by '6'.
r = -7.833333333

Simplifying
r = -7.833333333

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