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 = -9
-9 + 5r = 4r + -4

Reorder the terms:
-9 + 5r = -4 + 4r

Solving
-9 + 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.
-9 + 5r + -4r = -4 + 4r + -4r

Combine like terms: 5r + -4r = 1r
-9 + 1r = -4 + 4r + -4r

Combine like terms: 4r + -4r = 0
-9 + 1r = -4 + 0
-9 + 1r = -4

Add '9' to each side of the equation.
-9 + 9 + 1r = -4 + 9

Combine like terms: -9 + 9 = 0
0 + 1r = -4 + 9
1r = -4 + 9

Combine like terms: -4 + 9 = 5
1r = 5

Divide each side by '1'.
r = 5

Simplifying
r = 5

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