4(1-7r)+2=6(1-6r)

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Solution for 4(1-7r)+2=6(1-6r) equation:


Simplifying
4(1 + -7r) + 2 = 6(1 + -6r)
(1 * 4 + -7r * 4) + 2 = 6(1 + -6r)
(4 + -28r) + 2 = 6(1 + -6r)

Reorder the terms:
4 + 2 + -28r = 6(1 + -6r)

Combine like terms: 4 + 2 = 6
6 + -28r = 6(1 + -6r)
6 + -28r = (1 * 6 + -6r * 6)
6 + -28r = (6 + -36r)

Add '-6' to each side of the equation.
6 + -6 + -28r = 6 + -6 + -36r

Combine like terms: 6 + -6 = 0
0 + -28r = 6 + -6 + -36r
-28r = 6 + -6 + -36r

Combine like terms: 6 + -6 = 0
-28r = 0 + -36r
-28r = -36r

Solving
-28r = -36r

Solving for variable 'r'.

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

Add '36r' to each side of the equation.
-28r + 36r = -36r + 36r

Combine like terms: -28r + 36r = 8r
8r = -36r + 36r

Combine like terms: -36r + 36r = 0
8r = 0

Divide each side by '8'.
r = 0

Simplifying
r = 0

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