-7(1+2r)+4(3r-1)=6r+5

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Solution for -7(1+2r)+4(3r-1)=6r+5 equation: 


Simplifying
-7(1 + 2r) + 4(3r + -1) = 6r + 5
(1 * -7 + 2r * -7) + 4(3r + -1) = 6r + 5
(-7 + -14r) + 4(3r + -1) = 6r + 5

Reorder the terms:
-7 + -14r + 4(-1 + 3r) = 6r + 5
-7 + -14r + (-1 * 4 + 3r * 4) = 6r + 5
-7 + -14r + (-4 + 12r) = 6r + 5

Reorder the terms:
-7 + -4 + -14r + 12r = 6r + 5

Combine like terms: -7 + -4 = -11
-11 + -14r + 12r = 6r + 5

Combine like terms: -14r + 12r = -2r
-11 + -2r = 6r + 5

Reorder the terms:
-11 + -2r = 5 + 6r

Solving
-11 + -2r = 5 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-11 + -2r + -6r = 5 + 6r + -6r

Combine like terms: -2r + -6r = -8r
-11 + -8r = 5 + 6r + -6r

Combine like terms: 6r + -6r = 0
-11 + -8r = 5 + 0
-11 + -8r = 5

Add '11' to each side of the equation.
-11 + 11 + -8r = 5 + 11

Combine like terms: -11 + 11 = 0
0 + -8r = 5 + 11
-8r = 5 + 11

Combine like terms: 5 + 11 = 16
-8r = 16

Divide each side by '-8'.
r = -2

Simplifying
r = -2

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