5(r+3)=2r-6

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Solution for 5(r+3)=2r-6 equation:


Simplifying
5(r + 3) = 2r + -6

Reorder the terms:
5(3 + r) = 2r + -6
(3 * 5 + r * 5) = 2r + -6
(15 + 5r) = 2r + -6

Reorder the terms:
15 + 5r = -6 + 2r

Solving
15 + 5r = -6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
15 + 5r + -2r = -6 + 2r + -2r

Combine like terms: 5r + -2r = 3r
15 + 3r = -6 + 2r + -2r

Combine like terms: 2r + -2r = 0
15 + 3r = -6 + 0
15 + 3r = -6

Add '-15' to each side of the equation.
15 + -15 + 3r = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 3r = -6 + -15
3r = -6 + -15

Combine like terms: -6 + -15 = -21
3r = -21

Divide each side by '3'.
r = -7

Simplifying
r = -7

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