79=3(r+1)+2(7r+4)

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Solution for 79=3(r+1)+2(7r+4) equation: 


Simplifying
79 = 3(r + 1) + 2(7r + 4)

Reorder the terms:
79 = 3(1 + r) + 2(7r + 4)
79 = (1 * 3 + r * 3) + 2(7r + 4)
79 = (3 + 3r) + 2(7r + 4)

Reorder the terms:
79 = 3 + 3r + 2(4 + 7r)
79 = 3 + 3r + (4 * 2 + 7r * 2)
79 = 3 + 3r + (8 + 14r)

Reorder the terms:
79 = 3 + 8 + 3r + 14r

Combine like terms: 3 + 8 = 11
79 = 11 + 3r + 14r

Combine like terms: 3r + 14r = 17r
79 = 11 + 17r

Solving
79 = 11 + 17r

Solving for variable 'r'.

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

Add '-17r' to each side of the equation.
79 + -17r = 11 + 17r + -17r

Combine like terms: 17r + -17r = 0
79 + -17r = 11 + 0
79 + -17r = 11

Add '-79' to each side of the equation.
79 + -79 + -17r = 11 + -79

Combine like terms: 79 + -79 = 0
0 + -17r = 11 + -79
-17r = 11 + -79

Combine like terms: 11 + -79 = -68
-17r = -68

Divide each side by '-17'.
r = 4

Simplifying
r = 4

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