3r-5(r+3)=4r-16

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Solution for 3r-5(r+3)=4r-16 equation:


Simplifying
3r + -5(r + 3) = 4r + -16

Reorder the terms:
3r + -5(3 + r) = 4r + -16
3r + (3 * -5 + r * -5) = 4r + -16
3r + (-15 + -5r) = 4r + -16

Reorder the terms:
-15 + 3r + -5r = 4r + -16

Combine like terms: 3r + -5r = -2r
-15 + -2r = 4r + -16

Reorder the terms:
-15 + -2r = -16 + 4r

Solving
-15 + -2r = -16 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-15 + -2r + -4r = -16 + 4r + -4r

Combine like terms: -2r + -4r = -6r
-15 + -6r = -16 + 4r + -4r

Combine like terms: 4r + -4r = 0
-15 + -6r = -16 + 0
-15 + -6r = -16

Add '15' to each side of the equation.
-15 + 15 + -6r = -16 + 15

Combine like terms: -15 + 15 = 0
0 + -6r = -16 + 15
-6r = -16 + 15

Combine like terms: -16 + 15 = -1
-6r = -1

Divide each side by '-6'.
r = 0.1666666667

Simplifying
r = 0.1666666667

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