7r-26=6(r-3)

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Solution for 7r-26=6(r-3) equation:


Simplifying
7r + -26 = 6(r + -3)

Reorder the terms:
-26 + 7r = 6(r + -3)

Reorder the terms:
-26 + 7r = 6(-3 + r)
-26 + 7r = (-3 * 6 + r * 6)
-26 + 7r = (-18 + 6r)

Solving
-26 + 7r = -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.
-26 + 7r + -6r = -18 + 6r + -6r

Combine like terms: 7r + -6r = 1r
-26 + 1r = -18 + 6r + -6r

Combine like terms: 6r + -6r = 0
-26 + 1r = -18 + 0
-26 + 1r = -18

Add '26' to each side of the equation.
-26 + 26 + 1r = -18 + 26

Combine like terms: -26 + 26 = 0
0 + 1r = -18 + 26
1r = -18 + 26

Combine like terms: -18 + 26 = 8
1r = 8

Divide each side by '1'.
r = 8

Simplifying
r = 8

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