10r+7=8(2r-4)-9

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Solution for 10r+7=8(2r-4)-9 equation:


Simplifying
10r + 7 = 8(2r + -4) + -9

Reorder the terms:
7 + 10r = 8(2r + -4) + -9

Reorder the terms:
7 + 10r = 8(-4 + 2r) + -9
7 + 10r = (-4 * 8 + 2r * 8) + -9
7 + 10r = (-32 + 16r) + -9

Reorder the terms:
7 + 10r = -32 + -9 + 16r

Combine like terms: -32 + -9 = -41
7 + 10r = -41 + 16r

Solving
7 + 10r = -41 + 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
7 + 10r + -16r = -41 + 16r + -16r

Combine like terms: 10r + -16r = -6r
7 + -6r = -41 + 16r + -16r

Combine like terms: 16r + -16r = 0
7 + -6r = -41 + 0
7 + -6r = -41

Add '-7' to each side of the equation.
7 + -7 + -6r = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -6r = -41 + -7
-6r = -41 + -7

Combine like terms: -41 + -7 = -48
-6r = -48

Divide each side by '-6'.
r = 8

Simplifying
r = 8

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