r+5r-3r-r+2=40

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Solution for r+5r-3r-r+2=40 equation:


Simplifying
r + 5r + -3r + -1r + 2 = 40

Reorder the terms:
2 + r + 5r + -3r + -1r = 40

Combine like terms: r + 5r = 6r
2 + 6r + -3r + -1r = 40

Combine like terms: 6r + -3r = 3r
2 + 3r + -1r = 40

Combine like terms: 3r + -1r = 2r
2 + 2r = 40

Solving
2 + 2r = 40

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + 2r = 40 + -2

Combine like terms: 2 + -2 = 0
0 + 2r = 40 + -2
2r = 40 + -2

Combine like terms: 40 + -2 = 38
2r = 38

Divide each side by '2'.
r = 19

Simplifying
r = 19

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