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

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


Simplifying
6 + 2r + 4r + 1 = 6(r + -1) + -1(2r + 5)

Reorder the terms:
6 + 1 + 2r + 4r = 6(r + -1) + -1(2r + 5)

Combine like terms: 6 + 1 = 7
7 + 2r + 4r = 6(r + -1) + -1(2r + 5)

Combine like terms: 2r + 4r = 6r
7 + 6r = 6(r + -1) + -1(2r + 5)

Reorder the terms:
7 + 6r = 6(-1 + r) + -1(2r + 5)
7 + 6r = (-1 * 6 + r * 6) + -1(2r + 5)
7 + 6r = (-6 + 6r) + -1(2r + 5)

Reorder the terms:
7 + 6r = -6 + 6r + -1(5 + 2r)
7 + 6r = -6 + 6r + (5 * -1 + 2r * -1)
7 + 6r = -6 + 6r + (-5 + -2r)

Reorder the terms:
7 + 6r = -6 + -5 + 6r + -2r

Combine like terms: -6 + -5 = -11
7 + 6r = -11 + 6r + -2r

Combine like terms: 6r + -2r = 4r
7 + 6r = -11 + 4r

Solving
7 + 6r = -11 + 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.
7 + 6r + -4r = -11 + 4r + -4r

Combine like terms: 6r + -4r = 2r
7 + 2r = -11 + 4r + -4r

Combine like terms: 4r + -4r = 0
7 + 2r = -11 + 0
7 + 2r = -11

Add '-7' to each side of the equation.
7 + -7 + 2r = -11 + -7

Combine like terms: 7 + -7 = 0
0 + 2r = -11 + -7
2r = -11 + -7

Combine like terms: -11 + -7 = -18
2r = -18

Divide each side by '2'.
r = -9

Simplifying
r = -9

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