(4r+6)3=41-r+16

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Solution for (4r+6)3=41-r+16 equation:


Simplifying
(4r + 6) * 3 = 41 + -1r + 16

Reorder the terms:
(6 + 4r) * 3 = 41 + -1r + 16

Reorder the terms for easier multiplication:
3(6 + 4r) = 41 + -1r + 16
(6 * 3 + 4r * 3) = 41 + -1r + 16
(18 + 12r) = 41 + -1r + 16

Reorder the terms:
18 + 12r = 41 + 16 + -1r

Combine like terms: 41 + 16 = 57
18 + 12r = 57 + -1r

Solving
18 + 12r = 57 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
18 + 12r + r = 57 + -1r + r

Combine like terms: 12r + r = 13r
18 + 13r = 57 + -1r + r

Combine like terms: -1r + r = 0
18 + 13r = 57 + 0
18 + 13r = 57

Add '-18' to each side of the equation.
18 + -18 + 13r = 57 + -18

Combine like terms: 18 + -18 = 0
0 + 13r = 57 + -18
13r = 57 + -18

Combine like terms: 57 + -18 = 39
13r = 39

Divide each side by '13'.
r = 3

Simplifying
r = 3

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