5(r-6)+3=-3r+29

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Solution for 5(r-6)+3=-3r+29 equation:


Simplifying
5(r + -6) + 3 = -3r + 29

Reorder the terms:
5(-6 + r) + 3 = -3r + 29
(-6 * 5 + r * 5) + 3 = -3r + 29
(-30 + 5r) + 3 = -3r + 29

Reorder the terms:
-30 + 3 + 5r = -3r + 29

Combine like terms: -30 + 3 = -27
-27 + 5r = -3r + 29

Reorder the terms:
-27 + 5r = 29 + -3r

Solving
-27 + 5r = 29 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-27 + 5r + 3r = 29 + -3r + 3r

Combine like terms: 5r + 3r = 8r
-27 + 8r = 29 + -3r + 3r

Combine like terms: -3r + 3r = 0
-27 + 8r = 29 + 0
-27 + 8r = 29

Add '27' to each side of the equation.
-27 + 27 + 8r = 29 + 27

Combine like terms: -27 + 27 = 0
0 + 8r = 29 + 27
8r = 29 + 27

Combine like terms: 29 + 27 = 56
8r = 56

Divide each side by '8'.
r = 7

Simplifying
r = 7

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