-3.8(7r+5)+8.9(4r+5)=

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Solution for -3.8(7r+5)+8.9(4r+5)= equation:


Simplifying
-3.8(7r + 5) + 8.9(4r + 5) = 0

Reorder the terms:
-3.8(5 + 7r) + 8.9(4r + 5) = 0
(5 * -3.8 + 7r * -3.8) + 8.9(4r + 5) = 0
(-19 + -26.6r) + 8.9(4r + 5) = 0

Reorder the terms:
-19 + -26.6r + 8.9(5 + 4r) = 0
-19 + -26.6r + (5 * 8.9 + 4r * 8.9) = 0
-19 + -26.6r + (44.5 + 35.6r) = 0

Reorder the terms:
-19 + 44.5 + -26.6r + 35.6r = 0

Combine like terms: -19 + 44.5 = 25.5
25.5 + -26.6r + 35.6r = 0

Combine like terms: -26.6r + 35.6r = 9r
25.5 + 9r = 0

Solving
25.5 + 9r = 0

Solving for variable 'r'.

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

Add '-25.5' to each side of the equation.
25.5 + -25.5 + 9r = 0 + -25.5

Combine like terms: 25.5 + -25.5 = 0.0
0.0 + 9r = 0 + -25.5
9r = 0 + -25.5

Combine like terms: 0 + -25.5 = -25.5
9r = -25.5

Divide each side by '9'.
r = -2.833333333

Simplifying
r = -2.833333333

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