21-2(5r+3)=-6r+1-2r

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Solution for 21-2(5r+3)=-6r+1-2r equation: 


Simplifying
21 + -2(5r + 3) = -6r + 1 + -2r

Reorder the terms:
21 + -2(3 + 5r) = -6r + 1 + -2r
21 + (3 * -2 + 5r * -2) = -6r + 1 + -2r
21 + (-6 + -10r) = -6r + 1 + -2r

Combine like terms: 21 + -6 = 15
15 + -10r = -6r + 1 + -2r

Reorder the terms:
15 + -10r = 1 + -6r + -2r

Combine like terms: -6r + -2r = -8r
15 + -10r = 1 + -8r

Solving
15 + -10r = 1 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
15 + -10r + 8r = 1 + -8r + 8r

Combine like terms: -10r + 8r = -2r
15 + -2r = 1 + -8r + 8r

Combine like terms: -8r + 8r = 0
15 + -2r = 1 + 0
15 + -2r = 1

Add '-15' to each side of the equation.
15 + -15 + -2r = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -2r = 1 + -15
-2r = 1 + -15

Combine like terms: 1 + -15 = -14
-2r = -14

Divide each side by '-2'.
r = 7

Simplifying
r = 7

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