13+3r=2(4+r)+3

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Solution for 13+3r=2(4+r)+3 equation:


Simplifying
13 + 3r = 2(4 + r) + 3
13 + 3r = (4 * 2 + r * 2) + 3
13 + 3r = (8 + 2r) + 3

Reorder the terms:
13 + 3r = 8 + 3 + 2r

Combine like terms: 8 + 3 = 11
13 + 3r = 11 + 2r

Solving
13 + 3r = 11 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
13 + 3r + -2r = 11 + 2r + -2r

Combine like terms: 3r + -2r = 1r
13 + 1r = 11 + 2r + -2r

Combine like terms: 2r + -2r = 0
13 + 1r = 11 + 0
13 + 1r = 11

Add '-13' to each side of the equation.
13 + -13 + 1r = 11 + -13

Combine like terms: 13 + -13 = 0
0 + 1r = 11 + -13
1r = 11 + -13

Combine like terms: 11 + -13 = -2
1r = -2

Divide each side by '1'.
r = -2

Simplifying
r = -2

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