4r+3(2-7r)=-2r+6

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Solution for 4r+3(2-7r)=-2r+6 equation:


Simplifying
4r + 3(2 + -7r) = -2r + 6
4r + (2 * 3 + -7r * 3) = -2r + 6
4r + (6 + -21r) = -2r + 6

Reorder the terms:
6 + 4r + -21r = -2r + 6

Combine like terms: 4r + -21r = -17r
6 + -17r = -2r + 6

Reorder the terms:
6 + -17r = 6 + -2r

Add '-6' to each side of the equation.
6 + -6 + -17r = 6 + -6 + -2r

Combine like terms: 6 + -6 = 0
0 + -17r = 6 + -6 + -2r
-17r = 6 + -6 + -2r

Combine like terms: 6 + -6 = 0
-17r = 0 + -2r
-17r = -2r

Solving
-17r = -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.
-17r + 2r = -2r + 2r

Combine like terms: -17r + 2r = -15r
-15r = -2r + 2r

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

Divide each side by '-15'.
r = 0

Simplifying
r = 0

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