-4.9(8r+9)+7.1(8r+9)=

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Solution for -4.9(8r+9)+7.1(8r+9)= equation: 


Simplifying
-4.9(8r + 9) + 7.1(8r + 9) = 0

Reorder the terms:
-4.9(9 + 8r) + 7.1(8r + 9) = 0
(9 * -4.9 + 8r * -4.9) + 7.1(8r + 9) = 0
(-44.1 + -39.2r) + 7.1(8r + 9) = 0

Reorder the terms:
-44.1 + -39.2r + 7.1(9 + 8r) = 0
-44.1 + -39.2r + (9 * 7.1 + 8r * 7.1) = 0
-44.1 + -39.2r + (63.9 + 56.8r) = 0

Reorder the terms:
-44.1 + 63.9 + -39.2r + 56.8r = 0

Combine like terms: -44.1 + 63.9 = 19.8
19.8 + -39.2r + 56.8r = 0

Combine like terms: -39.2r + 56.8r = 17.6r
19.8 + 17.6r = 0

Solving
19.8 + 17.6r = 0

Solving for variable 'r'.

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

Add '-19.8' to each side of the equation.
19.8 + -19.8 + 17.6r = 0 + -19.8

Combine like terms: 19.8 + -19.8 = 0.0
0.0 + 17.6r = 0 + -19.8
17.6r = 0 + -19.8

Combine like terms: 0 + -19.8 = -19.8
17.6r = -19.8

Divide each side by '17.6'.
r = -1.125

Simplifying
r = -1.125

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