13r-4(r+4)=3(4r-3)-16

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Solution for 13r-4(r+4)=3(4r-3)-16 equation:


Simplifying
13r + -4(r + 4) = 3(4r + -3) + -16

Reorder the terms:
13r + -4(4 + r) = 3(4r + -3) + -16
13r + (4 * -4 + r * -4) = 3(4r + -3) + -16
13r + (-16 + -4r) = 3(4r + -3) + -16

Reorder the terms:
-16 + 13r + -4r = 3(4r + -3) + -16

Combine like terms: 13r + -4r = 9r
-16 + 9r = 3(4r + -3) + -16

Reorder the terms:
-16 + 9r = 3(-3 + 4r) + -16
-16 + 9r = (-3 * 3 + 4r * 3) + -16
-16 + 9r = (-9 + 12r) + -16

Reorder the terms:
-16 + 9r = -9 + -16 + 12r

Combine like terms: -9 + -16 = -25
-16 + 9r = -25 + 12r

Solving
-16 + 9r = -25 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-16 + 9r + -12r = -25 + 12r + -12r

Combine like terms: 9r + -12r = -3r
-16 + -3r = -25 + 12r + -12r

Combine like terms: 12r + -12r = 0
-16 + -3r = -25 + 0
-16 + -3r = -25

Add '16' to each side of the equation.
-16 + 16 + -3r = -25 + 16

Combine like terms: -16 + 16 = 0
0 + -3r = -25 + 16
-3r = -25 + 16

Combine like terms: -25 + 16 = -9
-3r = -9

Divide each side by '-3'.
r = 3

Simplifying
r = 3

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