-3(r+3)=-7r-33

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Solution for -3(r+3)=-7r-33 equation:


Simplifying
-3(r + 3) = -7r + -33

Reorder the terms:
-3(3 + r) = -7r + -33
(3 * -3 + r * -3) = -7r + -33
(-9 + -3r) = -7r + -33

Reorder the terms:
-9 + -3r = -33 + -7r

Solving
-9 + -3r = -33 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
-9 + -3r + 7r = -33 + -7r + 7r

Combine like terms: -3r + 7r = 4r
-9 + 4r = -33 + -7r + 7r

Combine like terms: -7r + 7r = 0
-9 + 4r = -33 + 0
-9 + 4r = -33

Add '9' to each side of the equation.
-9 + 9 + 4r = -33 + 9

Combine like terms: -9 + 9 = 0
0 + 4r = -33 + 9
4r = -33 + 9

Combine like terms: -33 + 9 = -24
4r = -24

Divide each side by '4'.
r = -6

Simplifying
r = -6

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