4(r-9)+2=12r+14

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Solution for 4(r-9)+2=12r+14 equation:


Simplifying
4(r + -9) + 2 = 12r + 14

Reorder the terms:
4(-9 + r) + 2 = 12r + 14
(-9 * 4 + r * 4) + 2 = 12r + 14
(-36 + 4r) + 2 = 12r + 14

Reorder the terms:
-36 + 2 + 4r = 12r + 14

Combine like terms: -36 + 2 = -34
-34 + 4r = 12r + 14

Reorder the terms:
-34 + 4r = 14 + 12r

Solving
-34 + 4r = 14 + 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.
-34 + 4r + -12r = 14 + 12r + -12r

Combine like terms: 4r + -12r = -8r
-34 + -8r = 14 + 12r + -12r

Combine like terms: 12r + -12r = 0
-34 + -8r = 14 + 0
-34 + -8r = 14

Add '34' to each side of the equation.
-34 + 34 + -8r = 14 + 34

Combine like terms: -34 + 34 = 0
0 + -8r = 14 + 34
-8r = 14 + 34

Combine like terms: 14 + 34 = 48
-8r = 48

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

Simplifying
r = -6

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