3(r-9)-4(4r+2)-7r=

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Solution for 3(r-9)-4(4r+2)-7r= equation:


Simplifying
3(r + -9) + -4(4r + 2) + -7r = 0

Reorder the terms:
3(-9 + r) + -4(4r + 2) + -7r = 0
(-9 * 3 + r * 3) + -4(4r + 2) + -7r = 0
(-27 + 3r) + -4(4r + 2) + -7r = 0

Reorder the terms:
-27 + 3r + -4(2 + 4r) + -7r = 0
-27 + 3r + (2 * -4 + 4r * -4) + -7r = 0
-27 + 3r + (-8 + -16r) + -7r = 0

Reorder the terms:
-27 + -8 + 3r + -16r + -7r = 0

Combine like terms: -27 + -8 = -35
-35 + 3r + -16r + -7r = 0

Combine like terms: 3r + -16r = -13r
-35 + -13r + -7r = 0

Combine like terms: -13r + -7r = -20r
-35 + -20r = 0

Solving
-35 + -20r = 0

Solving for variable 'r'.

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

Add '35' to each side of the equation.
-35 + 35 + -20r = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -20r = 0 + 35
-20r = 0 + 35

Combine like terms: 0 + 35 = 35
-20r = 35

Divide each side by '-20'.
r = -1.75

Simplifying
r = -1.75

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