6r+5(r+6)-3(s-5)=

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Solution for 6r+5(r+6)-3(s-5)= equation:


Simplifying
6r + 5(r + 6) + -3(s + -5) = 0

Reorder the terms:
6r + 5(6 + r) + -3(s + -5) = 0
6r + (6 * 5 + r * 5) + -3(s + -5) = 0
6r + (30 + 5r) + -3(s + -5) = 0

Reorder the terms:
6r + 30 + 5r + -3(-5 + s) = 0
6r + 30 + 5r + (-5 * -3 + s * -3) = 0
6r + 30 + 5r + (15 + -3s) = 0

Reorder the terms:
30 + 15 + 6r + 5r + -3s = 0

Combine like terms: 30 + 15 = 45
45 + 6r + 5r + -3s = 0

Combine like terms: 6r + 5r = 11r
45 + 11r + -3s = 0

Solving
45 + 11r + -3s = 0

Solving for variable 'r'.

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

Add '-45' to each side of the equation.
45 + 11r + -45 + -3s = 0 + -45

Reorder the terms:
45 + -45 + 11r + -3s = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 11r + -3s = 0 + -45
11r + -3s = 0 + -45

Combine like terms: 0 + -45 = -45
11r + -3s = -45

Add '3s' to each side of the equation.
11r + -3s + 3s = -45 + 3s

Combine like terms: -3s + 3s = 0
11r + 0 = -45 + 3s
11r = -45 + 3s

Divide each side by '11'.
r = -4.090909091 + 0.2727272727s

Simplifying
r = -4.090909091 + 0.2727272727s

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