-6r+29=4r-3(1+6r)

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Solution for -6r+29=4r-3(1+6r) equation: 


Simplifying
-6r + 29 = 4r + -3(1 + 6r)

Reorder the terms:
29 + -6r = 4r + -3(1 + 6r)
29 + -6r = 4r + (1 * -3 + 6r * -3)
29 + -6r = 4r + (-3 + -18r)

Reorder the terms:
29 + -6r = -3 + 4r + -18r

Combine like terms: 4r + -18r = -14r
29 + -6r = -3 + -14r

Solving
29 + -6r = -3 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
29 + -6r + 14r = -3 + -14r + 14r

Combine like terms: -6r + 14r = 8r
29 + 8r = -3 + -14r + 14r

Combine like terms: -14r + 14r = 0
29 + 8r = -3 + 0
29 + 8r = -3

Add '-29' to each side of the equation.
29 + -29 + 8r = -3 + -29

Combine like terms: 29 + -29 = 0
0 + 8r = -3 + -29
8r = -3 + -29

Combine like terms: -3 + -29 = -32
8r = -32

Divide each side by '8'.
r = -4

Simplifying
r = -4

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