5+(8-2r)=15-(3r-1)

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Solution for 5+(8-2r)=15-(3r-1) equation:


Simplifying
5 + (8 + -2r) = 15 + -1(3r + -1)

Remove parenthesis around (8 + -2r)
5 + 8 + -2r = 15 + -1(3r + -1)

Combine like terms: 5 + 8 = 13
13 + -2r = 15 + -1(3r + -1)

Reorder the terms:
13 + -2r = 15 + -1(-1 + 3r)
13 + -2r = 15 + (-1 * -1 + 3r * -1)
13 + -2r = 15 + (1 + -3r)

Combine like terms: 15 + 1 = 16
13 + -2r = 16 + -3r

Solving
13 + -2r = 16 + -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.
13 + -2r + 3r = 16 + -3r + 3r

Combine like terms: -2r + 3r = 1r
13 + 1r = 16 + -3r + 3r

Combine like terms: -3r + 3r = 0
13 + 1r = 16 + 0
13 + 1r = 16

Add '-13' to each side of the equation.
13 + -13 + 1r = 16 + -13

Combine like terms: 13 + -13 = 0
0 + 1r = 16 + -13
1r = 16 + -13

Combine like terms: 16 + -13 = 3
1r = 3

Divide each side by '1'.
r = 3

Simplifying
r = 3

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