4(r+1)-3(3r+1)=11

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Solution for 4(r+1)-3(3r+1)=11 equation: 


Simplifying
4(r + 1) + -3(3r + 1) = 11

Reorder the terms:
4(1 + r) + -3(3r + 1) = 11
(1 * 4 + r * 4) + -3(3r + 1) = 11
(4 + 4r) + -3(3r + 1) = 11

Reorder the terms:
4 + 4r + -3(1 + 3r) = 11
4 + 4r + (1 * -3 + 3r * -3) = 11
4 + 4r + (-3 + -9r) = 11

Reorder the terms:
4 + -3 + 4r + -9r = 11

Combine like terms: 4 + -3 = 1
1 + 4r + -9r = 11

Combine like terms: 4r + -9r = -5r
1 + -5r = 11

Solving
1 + -5r = 11

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + -5r = 11 + -1

Combine like terms: 1 + -1 = 0
0 + -5r = 11 + -1
-5r = 11 + -1

Combine like terms: 11 + -1 = 10
-5r = 10

Divide each side by '-5'.
r = -2

Simplifying
r = -2

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