84=6(1+3r)+6

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Solution for 84=6(1+3r)+6 equation: 


Simplifying
84 = 6(1 + 3r) + 6
84 = (1 * 6 + 3r * 6) + 6
84 = (6 + 18r) + 6

Reorder the terms:
84 = 6 + 6 + 18r

Combine like terms: 6 + 6 = 12
84 = 12 + 18r

Solving
84 = 12 + 18r

Solving for variable 'r'.

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

Add '-18r' to each side of the equation.
84 + -18r = 12 + 18r + -18r

Combine like terms: 18r + -18r = 0
84 + -18r = 12 + 0
84 + -18r = 12

Add '-84' to each side of the equation.
84 + -84 + -18r = 12 + -84

Combine like terms: 84 + -84 = 0
0 + -18r = 12 + -84
-18r = 12 + -84

Combine like terms: 12 + -84 = -72
-18r = -72

Divide each side by '-18'.
r = 4

Simplifying
r = 4

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