3(r-3)-r=-4(2r+5)-9

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Solution for 3(r-3)-r=-4(2r+5)-9 equation:


Simplifying
3(r + -3) + -1r = -4(2r + 5) + -9

Reorder the terms:
3(-3 + r) + -1r = -4(2r + 5) + -9
(-3 * 3 + r * 3) + -1r = -4(2r + 5) + -9
(-9 + 3r) + -1r = -4(2r + 5) + -9

Combine like terms: 3r + -1r = 2r
-9 + 2r = -4(2r + 5) + -9

Reorder the terms:
-9 + 2r = -4(5 + 2r) + -9
-9 + 2r = (5 * -4 + 2r * -4) + -9
-9 + 2r = (-20 + -8r) + -9

Reorder the terms:
-9 + 2r = -20 + -9 + -8r

Combine like terms: -20 + -9 = -29
-9 + 2r = -29 + -8r

Solving
-9 + 2r = -29 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
-9 + 2r + 8r = -29 + -8r + 8r

Combine like terms: 2r + 8r = 10r
-9 + 10r = -29 + -8r + 8r

Combine like terms: -8r + 8r = 0
-9 + 10r = -29 + 0
-9 + 10r = -29

Add '9' to each side of the equation.
-9 + 9 + 10r = -29 + 9

Combine like terms: -9 + 9 = 0
0 + 10r = -29 + 9
10r = -29 + 9

Combine like terms: -29 + 9 = -20
10r = -20

Divide each side by '10'.
r = -2

Simplifying
r = -2

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