20.5=-2(3r+7)

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Solution for 20.5=-2(3r+7) equation:


Simplifying
20.5 = -2(3r + 7)

Reorder the terms:
20.5 = -2(7 + 3r)
20.5 = (7 * -2 + 3r * -2)
20.5 = (-14 + -6r)

Solving
20.5 = -14 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
20.5 + 6r = -14 + -6r + 6r

Combine like terms: -6r + 6r = 0
20.5 + 6r = -14 + 0
20.5 + 6r = -14

Add '-20.5' to each side of the equation.
20.5 + -20.5 + 6r = -14 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + 6r = -14 + -20.5
6r = -14 + -20.5

Combine like terms: -14 + -20.5 = -34.5
6r = -34.5

Divide each side by '6'.
r = -5.75

Simplifying
r = -5.75

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