29-r=6-2(r-8)

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Solution for 29-r=6-2(r-8) equation:


Simplifying
29 + -1r = 6 + -2(r + -8)

Reorder the terms:
29 + -1r = 6 + -2(-8 + r)
29 + -1r = 6 + (-8 * -2 + r * -2)
29 + -1r = 6 + (16 + -2r)

Combine like terms: 6 + 16 = 22
29 + -1r = 22 + -2r

Solving
29 + -1r = 22 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
29 + -1r + 2r = 22 + -2r + 2r

Combine like terms: -1r + 2r = 1r
29 + 1r = 22 + -2r + 2r

Combine like terms: -2r + 2r = 0
29 + 1r = 22 + 0
29 + 1r = 22

Add '-29' to each side of the equation.
29 + -29 + 1r = 22 + -29

Combine like terms: 29 + -29 = 0
0 + 1r = 22 + -29
1r = 22 + -29

Combine like terms: 22 + -29 = -7
1r = -7

Divide each side by '1'.
r = -7

Simplifying
r = -7

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