5r+3(7r+6)=226

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Solution for 5r+3(7r+6)=226 equation:


Simplifying
5r + 3(7r + 6) = 226

Reorder the terms:
5r + 3(6 + 7r) = 226
5r + (6 * 3 + 7r * 3) = 226
5r + (18 + 21r) = 226

Reorder the terms:
18 + 5r + 21r = 226

Combine like terms: 5r + 21r = 26r
18 + 26r = 226

Solving
18 + 26r = 226

Solving for variable 'r'.

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

Add '-18' to each side of the equation.
18 + -18 + 26r = 226 + -18

Combine like terms: 18 + -18 = 0
0 + 26r = 226 + -18
26r = 226 + -18

Combine like terms: 226 + -18 = 208
26r = 208

Divide each side by '26'.
r = 8

Simplifying
r = 8

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