5(r-3)-6=4r-4

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Solution for 5(r-3)-6=4r-4 equation:


Simplifying
5(r + -3) + -6 = 4r + -4

Reorder the terms:
5(-3 + r) + -6 = 4r + -4
(-3 * 5 + r * 5) + -6 = 4r + -4
(-15 + 5r) + -6 = 4r + -4

Reorder the terms:
-15 + -6 + 5r = 4r + -4

Combine like terms: -15 + -6 = -21
-21 + 5r = 4r + -4

Reorder the terms:
-21 + 5r = -4 + 4r

Solving
-21 + 5r = -4 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-21 + 5r + -4r = -4 + 4r + -4r

Combine like terms: 5r + -4r = 1r
-21 + 1r = -4 + 4r + -4r

Combine like terms: 4r + -4r = 0
-21 + 1r = -4 + 0
-21 + 1r = -4

Add '21' to each side of the equation.
-21 + 21 + 1r = -4 + 21

Combine like terms: -21 + 21 = 0
0 + 1r = -4 + 21
1r = -4 + 21

Combine like terms: -4 + 21 = 17
1r = 17

Divide each side by '1'.
r = 17

Simplifying
r = 17

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