11=7(7-3r)+2(4r-6)

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Solution for 11=7(7-3r)+2(4r-6) equation: 


Simplifying
11 = 7(7 + -3r) + 2(4r + -6)
11 = (7 * 7 + -3r * 7) + 2(4r + -6)
11 = (49 + -21r) + 2(4r + -6)

Reorder the terms:
11 = 49 + -21r + 2(-6 + 4r)
11 = 49 + -21r + (-6 * 2 + 4r * 2)
11 = 49 + -21r + (-12 + 8r)

Reorder the terms:
11 = 49 + -12 + -21r + 8r

Combine like terms: 49 + -12 = 37
11 = 37 + -21r + 8r

Combine like terms: -21r + 8r = -13r
11 = 37 + -13r

Solving
11 = 37 + -13r

Solving for variable 'r'.

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

Add '13r' to each side of the equation.
11 + 13r = 37 + -13r + 13r

Combine like terms: -13r + 13r = 0
11 + 13r = 37 + 0
11 + 13r = 37

Add '-11' to each side of the equation.
11 + -11 + 13r = 37 + -11

Combine like terms: 11 + -11 = 0
0 + 13r = 37 + -11
13r = 37 + -11

Combine like terms: 37 + -11 = 26
13r = 26

Divide each side by '13'.
r = 2

Simplifying
r = 2

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