19=3(r+4)+1

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Solution for 19=3(r+4)+1 equation:


Simplifying
19 = 3(r + 4) + 1

Reorder the terms:
19 = 3(4 + r) + 1
19 = (4 * 3 + r * 3) + 1
19 = (12 + 3r) + 1

Reorder the terms:
19 = 12 + 1 + 3r

Combine like terms: 12 + 1 = 13
19 = 13 + 3r

Solving
19 = 13 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
19 + -3r = 13 + 3r + -3r

Combine like terms: 3r + -3r = 0
19 + -3r = 13 + 0
19 + -3r = 13

Add '-19' to each side of the equation.
19 + -19 + -3r = 13 + -19

Combine like terms: 19 + -19 = 0
0 + -3r = 13 + -19
-3r = 13 + -19

Combine like terms: 13 + -19 = -6
-3r = -6

Divide each side by '-3'.
r = 2

Simplifying
r = 2

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