4(-2r+4)-6=-6r+18

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Solution for 4(-2r+4)-6=-6r+18 equation:


Simplifying
4(-2r + 4) + -6 = -6r + 18

Reorder the terms:
4(4 + -2r) + -6 = -6r + 18
(4 * 4 + -2r * 4) + -6 = -6r + 18
(16 + -8r) + -6 = -6r + 18

Reorder the terms:
16 + -6 + -8r = -6r + 18

Combine like terms: 16 + -6 = 10
10 + -8r = -6r + 18

Reorder the terms:
10 + -8r = 18 + -6r

Solving
10 + -8r = 18 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
10 + -8r + 6r = 18 + -6r + 6r

Combine like terms: -8r + 6r = -2r
10 + -2r = 18 + -6r + 6r

Combine like terms: -6r + 6r = 0
10 + -2r = 18 + 0
10 + -2r = 18

Add '-10' to each side of the equation.
10 + -10 + -2r = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -2r = 18 + -10
-2r = 18 + -10

Combine like terms: 18 + -10 = 8
-2r = 8

Divide each side by '-2'.
r = -4

Simplifying
r = -4

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