.5(r-3)=-r-2

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


Simplifying
0.5(r + -3) = -1r + -2

Reorder the terms:
0.5(-3 + r) = -1r + -2
(-3 * 0.5 + r * 0.5) = -1r + -2
(-1.5 + 0.5r) = -1r + -2

Reorder the terms:
-1.5 + 0.5r = -2 + -1r

Solving
-1.5 + 0.5r = -2 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-1.5 + 0.5r + r = -2 + -1r + r

Combine like terms: 0.5r + r = 1.5r
-1.5 + 1.5r = -2 + -1r + r

Combine like terms: -1r + r = 0
-1.5 + 1.5r = -2 + 0
-1.5 + 1.5r = -2

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1.5r = -2 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1.5r = -2 + 1.5
1.5r = -2 + 1.5

Combine like terms: -2 + 1.5 = -0.5
1.5r = -0.5

Divide each side by '1.5'.
r = -0.3333333333

Simplifying
r = -0.3333333333

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