4r-16=-4(3r+4)+7r

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Solution for 4r-16=-4(3r+4)+7r equation: 


Simplifying
4r + -16 = -4(3r + 4) + 7r

Reorder the terms:
-16 + 4r = -4(3r + 4) + 7r

Reorder the terms:
-16 + 4r = -4(4 + 3r) + 7r
-16 + 4r = (4 * -4 + 3r * -4) + 7r
-16 + 4r = (-16 + -12r) + 7r

Combine like terms: -12r + 7r = -5r
-16 + 4r = -16 + -5r

Add '16' to each side of the equation.
-16 + 16 + 4r = -16 + 16 + -5r

Combine like terms: -16 + 16 = 0
0 + 4r = -16 + 16 + -5r
4r = -16 + 16 + -5r

Combine like terms: -16 + 16 = 0
4r = 0 + -5r
4r = -5r

Solving
4r = -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
4r + 5r = -5r + 5r

Combine like terms: 4r + 5r = 9r
9r = -5r + 5r

Combine like terms: -5r + 5r = 0
9r = 0

Divide each side by '9'.
r = 0

Simplifying
r = 0

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