-2r+21=-7(8r-2)+7

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Solution for -2r+21=-7(8r-2)+7 equation:


Simplifying
-2r + 21 = -7(8r + -2) + 7

Reorder the terms:
21 + -2r = -7(8r + -2) + 7

Reorder the terms:
21 + -2r = -7(-2 + 8r) + 7
21 + -2r = (-2 * -7 + 8r * -7) + 7
21 + -2r = (14 + -56r) + 7

Reorder the terms:
21 + -2r = 14 + 7 + -56r

Combine like terms: 14 + 7 = 21
21 + -2r = 21 + -56r

Add '-21' to each side of the equation.
21 + -21 + -2r = 21 + -21 + -56r

Combine like terms: 21 + -21 = 0
0 + -2r = 21 + -21 + -56r
-2r = 21 + -21 + -56r

Combine like terms: 21 + -21 = 0
-2r = 0 + -56r
-2r = -56r

Solving
-2r = -56r

Solving for variable 'r'.

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

Add '56r' to each side of the equation.
-2r + 56r = -56r + 56r

Combine like terms: -2r + 56r = 54r
54r = -56r + 56r

Combine like terms: -56r + 56r = 0
54r = 0

Divide each side by '54'.
r = 0

Simplifying
r = 0

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