-6r+11(r+3)=4(r+6)

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Solution for -6r+11(r+3)=4(r+6) equation:


Simplifying
-6r + 11(r + 3) = 4(r + 6)

Reorder the terms:
-6r + 11(3 + r) = 4(r + 6)
-6r + (3 * 11 + r * 11) = 4(r + 6)
-6r + (33 + 11r) = 4(r + 6)

Reorder the terms:
33 + -6r + 11r = 4(r + 6)

Combine like terms: -6r + 11r = 5r
33 + 5r = 4(r + 6)

Reorder the terms:
33 + 5r = 4(6 + r)
33 + 5r = (6 * 4 + r * 4)
33 + 5r = (24 + 4r)

Solving
33 + 5r = 24 + 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.
33 + 5r + -4r = 24 + 4r + -4r

Combine like terms: 5r + -4r = 1r
33 + 1r = 24 + 4r + -4r

Combine like terms: 4r + -4r = 0
33 + 1r = 24 + 0
33 + 1r = 24

Add '-33' to each side of the equation.
33 + -33 + 1r = 24 + -33

Combine like terms: 33 + -33 = 0
0 + 1r = 24 + -33
1r = 24 + -33

Combine like terms: 24 + -33 = -9
1r = -9

Divide each side by '1'.
r = -9

Simplifying
r = -9

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